solve 7 √ 3 + 2 √ 9 and explain whether the answer is rational or irrational​

Solve 7 3 + 2 9 And Explain Whether The Answer Is Rational Or Irrational

Answers

Answer 1

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

Answer 2

The correct answer is  7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.

What are rational numbers, and irrational numbers?

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Assume that x be the seven square root three plus two square root nine ;

i.e. x = 7√3 + 2√9

Now

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

x = 7√3 + 6

Here, we can see that 7√3 is an irrational number and 6 is a rational number.

The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D is correct.

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Related Questions

In today’s lesson you voted a sheet of paper multiple times. Identify the rectangles that were scaled copies of your original rectangle sheet of paper. Use the image to help.

Answers

I think that the answer will be

C,E

Find the missing angle measurement! Please show/tell me what u did to solve the problem aswell

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of exterior angles is = 360

one of the angle is given we will need to add all three angles

128 + 8x + 11x + 4 = 360 add like terms

19x + 132 = 360 subtract 132 from both sides

19x = 268 divide both sides by 19

x = 12 replace x in required expressions to find the measure of the angles

Find the new amount increase
700 by 40%

Answers

The answer is 980

40% of 700 is 280, you then add that to 700.

Solve using quadratic equation (a-2)2 =8

Answers

Answer:

a=6

Step-by-step explanation:

(a-2) x 2 =8

remove parentheses

2a-4=8

move constant to the right

2a=8+4

calculate

2a=12

divide both sides

a=6

what is the square root of pie?

Answers

Answer:

1.77

Step-by-step explanation:

The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.

Answer:

the square root of pie is 1.77245385091

or just 1.77

Evaluate: 7.921 x 104.

79,210,000

7,921

792.1

79,210 Will mark brainly
Need now!!

Answers

Answer:

79,210,000

Step-by-step explanation:

:)

What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.)

Answers

Answer:

(a^6)^3 / (a^5)^2 = a^8

Step-by-step explanation:

step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis

ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10

step 2: subtract the exponents

ex: a^18 - ^10 = a^8

A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?​

Answers

The distance from the road where an intruder would be in danger is 27.48 m.

To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:

Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.

In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)

From this we know the following data:

Length AB = 15mLength AD = 15mLength AC = 6m

To know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.

BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 m

Later we use the same procedure to find the length CD.

CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 m

Finally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.

BC + CD = BD = 27,48 m

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Could someone please help answer this, please no spam, thank you will give brainliest, (homework help)!

Answers

Answer:

[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]

I hope I helped you^_^

A cube has a side length of 12 inches. The cube is divided into 8 equal sized sections. What
is the volume of each section?

Answers

Answer:

216 cubic inches

Step-by-step explanation:

To find the volume of just the cube:

12 x 12 x 12 = 1728

then to find the volume of the section:

1728/8 = 216

Joans father is 38 years old today how many days old is he?

Answers

Joans father is 13,870 days old

38 X 365= 13,870

hELP! NO LINKSSS U ROBOTS!!!

Answers

Answer:

The answer is angle 4.

Step-by-step explanation:

Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.

Answer: Angle 4 is the correct option

What is the slope of the line that passes through the points (8, 4)(8,4) and (20, -4) ?(20,−4)? Write your answer in simplest form.

Answers

I think that the answer is

Y= -0.66x+9.33

please what's -4/5 - -3/5

Answers

Step-by-step explanation:

-4/5 - -3/5

-4/5 + 3/5

(-4+3)/5

=-1/5

the answer for -4/5 - -3/5 is  −1/5

A recipe calls for 1/4 cup of apples and 3/8 cup of peaches. how many total fruit will Be used it the recipe. (I'm to lazy to try and do this Because I have to write an essay after this.)​

Answers

Answer:

5/8

Step-by-step explanation:

1/4 (2/2)=2/8

3/8 (already simplified)

2/8+3/8=5/8

Please help!! Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:  7

============================================================

Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]

In the expression 10-2p, 2 is the coefficient.
O True
O False

Answers

Answer:

Its true though.

Step-by-step explanation:

The coefficient is before the variable and since in 2p the 2 is before the variable it is a coefficient.

Answer:

Yes It is True.

Step-by-step explanation:

Any number before variable is a coefficient

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

x =

Answers

Answer:

2/3 My guy

Step-by-step explanation:

Answer:

The completeness property for points in the plane tells us two things

Exactly one point in the plane is named given the numbers of the ordered pair and

Exactly one ordered pair of numbers names a given point in the plane.

To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

QUICK brainiest ASAP! ive been posting this over and over for days and no response what's up with brainy these days?? Use a trigonometric ratio to find the measure of θ in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator: SHOW ALL YOUR WORK so I can see if the answer makes sense!

Answers

Answer:

64 degrees

please mark brainliest

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{opp}{hyp} \\ \sin( \alpha ) = \frac{9}{10} \\ \alpha = { \sin }^{ - 1} ( \frac{9}{10} ) \\ \alpha = 64.15 \\ \alpha = 64[/tex]

100 POINTS & BRAINLIEST!!

Answers

Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

2(20)40hours

Hourly pay=$18.25

Total home pay

18.25(40)$730

Atleast $255 per week you can easily acquire 1000 also by toil

The numbers shown above belong to which of the following sets of numbers?

I. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers
A.
I, II, III, and IV
B.
I and IV only
C.
II only
D.
I only

Answers

The answer is iii which are whole numbers

The correct way of representing different types of numbers is,

B. I and IV only

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set

                                   Complex numbers (a + ib)

Real numbers                                                                 Imaginary numbers.

(a + i0)                                                                                      (0 + ib)

Rational numbers               Irrational numbers

(perfect squares)              (non-perfects squares)

Fractions.  

(p/q, q ≠ 0)            

Integers.

(whole nos. -: 0 to ∞)

(negative integers -: - ∞ to - 1)

(positive integers -: 1 to ∞)

The type of numbers in which every next type is a subset of the previous type is Natural numbers ⊂ Whole numbers ⊂ Intergers ⊂Rational numbers.

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Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?

Answers

Answer:

it should be 250m

Step-by-step explanation:

Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m

please solve this problem
please give me the correct answer​

Answers

I hope this solution works

Which equation represents a line with a slope of -1 that passes through (0, 4)?

Answers

Answer:

ajhbdlahv

Step-by-step explanation:

ajksl

A side of the triangle below has been extended to form an exterior angle of 135º. Find
the value of x.
xo
135
115

Answers

Answer:

X = 45

Step-by-step explanation:

x + 135 = 180  {Linear pair}  

       x = 180 - 135          {Subtract 135 from both sides}  

       x = 45

Plz complete the table

Answers

Answer:

2 and 2

8 and 4

Step-by-step explanation:

Plug the respective x values in to find the y-values or use a GDC.

Write the expression for each sentence below. Will give brainlist


1. the sum of 6 and t = 6+ t

2. the product of s and 12


3. the difference of 6 from 10


4. the quotient of 6 divided by t


5. 17 less than 20


6. increase s by 2s


7. decrease 10 by r


8. add 7 times x and 4 times s


9. the quotient of 17 minus 12 and 2


10. the product of 2 and x less 10


11. the product of 7 and 2 divided by 2

12. decrease the product of 8 and 6 by a number

Answers

Answer:

1.6t

2.12s

3.4

4.6

5.yes

6.2ss

7.10

8.x×x×x×x×x×x×x=×7

s×s×s×s=×4

9.-7

10.no

11.7

12.8×6=48

The y –intercept of the function is_____________.
A. (0,0)
B. (0,2)
C. (2,0)
D. none

Answers

Answer:

B

Step-by-step explanation:

(x,y)

(0,2)

the 2 lands on the y so therefor 2 is the y-intercept

i hope this helps :)

I concur that the y-intercept of the function is represented by the ordered pair, (0,2), as it is the value of y when the x-value = 0. The y-intercept is the point on the graph where crosses the y-axis [as given by the ordered pair, (0,b)]


Therefore, option B is correct: (0,2)

The figures are similar. Find x ,

Answers

Answer:

8 cm

Step-by-step explanation:

Hello there! :)

We are given that these figures are similar.

It means that the sides are proportional. So

[tex]\frac{4}{6} =\frac{6}{x}[/tex]

Cross-multiply:

4x=36

Divide both sides by 4 to isolate x:

x=9 cm

Hope this helps!

~Just a gloomy teen who misses her best friend

[tex]GraceRosalia :-([/tex]


Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend.
He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of
hot sauce he put in each batch by 2 ounces. Bert used 24 ounces of hot sauce in all to make
the wing sauce.
Which equation can you use to find u, the amount of hot sauce Bert's uncle usually puts in
each batch of spicy wing sauce?
3(u - 2) - 24
2(0 - 3) - = 24
3u - 2 = 24
2u - 3 = 24
How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?
Write your answer as a whole number or a simplified fraction.
ounces

Answers

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation to show how many ounces of spicy sauce Bert's uncle usually put in is given as: 3(u - 2) = 24

The amount of hot sauce  Bert's uncle usually puts in each batch of spicy wing sauce is 10 ounces.

a) We are told in the question that Bert made 3 batches of his uncle's spicy sauce. He reduced the amount of hot sauce and used 2 ounces in each batch. He used 24 ounces of hot sauce in all to make the wing sauce.

Let's represent each ounce of hot sauce as u

Hence, the equation to show how many ounces of spicy sauce Bert's uncle usual put in is given as:

3(u - 2) = 24

b) How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?

The amount of hot sauce Bert's uncle puts in the spicy wing sauce

3(u - 2) = 24

3u - 6 = 24

Collect like terms

3u = 24 + 6

3u = 30

Divide both sides by 3

u = 30/3

u = 10

Bert's uncle puts 10 ounces of hot sauce in the spicy wing sauce.

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