The value of (√5 + √2)2
(A) 7+ 2√5 (B) 1+ 5√2 (C) 7+2√10 (D) 7-2√10

Answers

Answer 1

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Using identity :

[tex] {(a + b)}^{2} = {a}^{2} + b {}^{2} + 2ab[/tex]

[tex]( \sqrt{5 }{+ \sqrt{2{}^{} } } ) {}^{2} [/tex]

[tex]( \sqrt{5} ) {}^{2} + ( \sqrt{2} ) {}^{2} + 2( \sqrt{5} )( \sqrt{2} )[/tex]

[tex]5 + 2 + 2 \sqrt{10} [/tex]

[tex]7 + 2 \sqrt{10} [/tex]

therefore, the correct choice is :

[tex] \mathrm{C.) \: \: 7 + 2 \sqrt{10} }[/tex]
Answer 2
Solution:

[tex]( \sqrt{5} + \sqrt{2} {)}^{2} \\ [/tex]

[tex]by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex][/tex]

Answer:

(C) 7+2√10


Related Questions

A store sells notepads in packages of 24 and packages of 6. The organizers of a conference needs to prepare at least 200 notepads for the event. Would they have enough notepads if they bought five packages of 24 and fifteen packages of 6 ?

Answers

Answer: Yes they would have enough notepads

Step-by-step explanation:

24 * 5 = 120

15 * 6 = 90

120 + 90 = 210

The organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.

Given that, a store sells notepads in packages of 24 and packages of 6.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of note pads with five packages of 24

24 × 5 = 120

The number of note pads with fifteen packages of 6

15 × 6 = 90

Total number of note pads

= 120 + 90 = 210

Therefore, the organizers will have enough notepads if they bought five packages of 24 and fifteen packages of 6.

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Help!! I’ll mark brainly list but explain

Answers

Answer:

0.125

Step-by-step explanation:

(4)(-2)-3(-3)/3+5=

1/8=

0.125

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's evaluate :

[tex] \dfrac{(4a - 3b) {}^{3} }{c + 5}[/tex]

In the given expression, let's plug the value of

a = -2

b = -3

c = 3

so,

[tex] \dfrac{ \{(4 \times (- 2)) - (3 \times (- 3)) \} {}^{3} }{3 + 5}[/tex]

[tex] \dfrac{ \{ - 8 - ( - 9) \} {}^{3} }{8}[/tex]

[tex] \dfrac{ \{ - 8 + 9 \} {}^{3} }{8}[/tex]

[tex] \dfrac{(1) {}^{3} }{8} [/tex]

[tex] \dfrac{1}{8} [/tex]

What is the slope of x+y=4

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Let's find the slope :

[tex]x + y = 4[/tex]

[tex]y = 4 - x[/tex]

[tex]y = - x + 4[/tex]

now, the equation is in the general form of a straight line.

and here, the coefficient of x will be the slope of given line.

that is :

[tex] - 1[/tex]

Determine if each conjecture is true or false. If false, provide a counterexample.

Answers

Answer:

1)TRUE 2) The difference of any two negative integers is a negative integer.

3)TRUE  4) TRUE 5)FALSE-REASON-Freshwater fish maintain the physiological mechanisms that permit them to concentrate salts within their bodies in a salt-deficient environment; marine fish, on the other hand, excrete excess salts in a hypertonic environment.

Step-by-step explanation:

hope this helps

In a circle of radius 1, what is the length of an arc cut off by a central angle of 2 radians?

Answers

Answer:

What is the length of an arc cut off?

If θ (in radians) is a central angle in a circle with radius r, then the length of the arc cut off by θ is given by s = r θ (θ is in radians).

Step-by-step explanation:

Length of an Arc = θ × r, where θ is in radian.

Length of an Arc = θ × (π/180) × r, where θ is in degree.

the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​

Answers

-7 or 8 is the answer

Find the area of the shaded portion. ​

Answers

Answer:

Step-by-step explanation:

There's a fact hidden in the diagram that if you do not know it, the problem will be very difficult to solve. The fact is this. If a 60 degree angle is enclosed by the hypotenuse and the other  of side of the 60 degree angle. the hypotenuse is 2 times the length of the side.

In this case the hypotenuse is 12. The given side is 6. The third side of the right triangle is 12^1 - 6^2  = 144 - 36 = 108

The length of the third side is sqrt(108) = 6*sqrt(3)= 10.39

The area of one of the triangles is 1/2 * 6 * 10.39 = 31.18

The area of two of the triangles is 2 * 31.18. = 62.36

Now you you  have to do is find the area of the unshaded sector

Area = given angle / 360 * pi * r^2

Area = 120/360  *  3.14 * 6^2

Area = 37,68

The area of the shaded part = the area of the 2 triangles - the unshaded sector

The area of the shaded part = 62.36 - 37.68 = 24.68

HELP PLEASE BRAINIEST IF CORRECT!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

It’s 2/3

The rate of change is the slope. And the only two points on the line that doesn’t look like a decimal is (0, -3) and (3,-1).

Slope = (y2 - y1) / (x2 - x1)

(-1 - -3) / 3 - 0
= 2/3

This is the Length of Arc....pls. try to answer.​

Answers

Answer:

75 cmmmmmmmmmmmmmmmmmm

i need help with algebra 2 pleasee

Answers

Answer:

[tex]x=\pm \sqrt{21}/7[/tex]

Step-by-step explanation:

We can add 9 to both sides of the equation to get [tex]21x^2=9[/tex].

We can divide both sides of the equation by 21 to get [tex]x^2=9/21[/tex].

We take the square root of both sides of the equation to get [tex]x=\pm \sqrt{9/21}[/tex].

However, that isn't in the form we need.

We know that [tex]\sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7[/tex]

so the answer is really [tex]x=\pm \sqrt{21}/7[/tex] and we're done!

The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
33/2
11
11
33/2

Answers

22/2 ? i think lmk if its wrong

The scale factor as fraction in simplest form is 3/2.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given  square on the right is a scaled copy of the square on the left.

So 11 is being multiplied by something to get to 33/2

So 11x = 33/2

Solve for x:

11x = 33/2

x = 33/ 2(11)

x = 3/2

The scale factor as fraction in simplest form is 3/2.

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Use the graph to estimate the value of y when x = 2.5

Answers

Answer:

y=7

y will equal to 7 when x is 2.5

#10 Compare the
numbers below using <, >
or =
-67 _-62

Answers

Answer: the answer is -67<-62

Step-by-step explanation:

Answer:

-67<-62

Step-by-step explanation:

4.
Solve the following equation for x. Represent
your answer in two forms, (1) with radicals and
(2) with rational exponents: x^4 = y^7

Answers

Answer:

7

Step-by-step explanation:

7 =2 hx x e

at a toy store colton can buy a package of 6 mini footballa for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football

Answers

Answer:

The 6 pack

Step-by-step explanation:

i searched it up

The required option that has a lesser price per mini football is a package of 8.

Given that,
at a toy store, Colton can buy a package of 6 mini footballs for $7.50. or a package of 8 mini footballs for $9.60. wich option has the lesser price per mini football is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
For 6 package footballs the cost of a mini football = 7.50 / 6 = $1.25.
For 8 package footballs the cost of a mini football = 9.60 / 8 = $1.20.

Thus, the required option that has a lesser price per mini football is a package of 8.

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11. There are a total of 30 puzzle pieces. Three
out of 5 are red, the remaining are black. How
many puzzle pieces are black?

Answers

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.

From the given condition,

(3/5) of total puzzle pieces = Number of red puzzle pieces

(3/5) × 30 = Number of red puzzle pieces

Number of red puzzle pieces = 18

Total puzzle pieces = Red puzzle pieces + Black puzzle pieces

30 = 18 + Black puzzle pieces

Black puzzle pieces = 30-18

Black puzzle pieces =12

Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

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15 friends sold the same number of tickets each. They sold x tickets altogether. How many tickets did each of them sell?

Answers

Answer:

hhgfghgffgtfhhjjjjhhfsadsdffbnjghdrr

Answer:

Hey man im not very smart

Step-by-step explanation:

Evaluate V.
V=LWH
L=3. W = 2. H= 1

Answers

Answer:

Answer is 6cm³

Step-by-step explanation:

V = 3 × 2 × 1

= 6cm³

If two angles add up to 180 how many angles are there?

Answers

Answer:

Step-by-step explanation:

According to Supplementary Angles rules: two angles add up to 180

KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

Answer is b . Hope you like answer

What is the area? IXL assignment

Answers

Answer:

(36.4+18.7)x22.3/2 = 614.365

Step-by-step explanation:

up+downxheight/2

what is (4,5) reflected over line x=2

Answers

The answer would be (0,5). When reflecting over x=2, first count how many away the point is from the reflection line, then put the new point the same distance away on the opposite side.

Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)

Answers

Answer:

7

Step-by-step explanation:

The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The function f is defined by g(x)=−2x−1

We need to find the function defined as g(-4).

Then substitute;

g(x)=−2x−1

g(-4 ) =−2 (-4) − 1

g(-4 ) = 8 -1

g(-4 ) = 7

Therefore, The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.

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Please help me! Will give brainliest!​

Answers

Answer:

6

Step-by-step explanation:

you have to split it up mostly

what is the value of x?

Answers

180-X=100 so X=80
80+6x-18+5x+8=180
11X=180-80+18-8
11X=110
X=110/11

So
X=10

6x-18=6*10-18=42
5x+8=5*10+8=58


Im not sure plz check it

What is the value of 5c + 2, if c= 6

Answers

To evaluate the expression, we will need to plug in a 6 everywhere there is a c.

5c + 2

5(6) + 2

30 + 2

32

Hope this helps!! :)

There are 31 students in a class and 61.3% of these students passed their math applications test. What number of these students passed their test? Round your answer to the nearest whole number if necessary

Answers

Answer:

31 of 61.3%...

... is equivalent to multiplying them:

31 × 61.3% ≈ 19

(Rounded to a maximum of 2 decimals)

hopefully it’s correct

PLEASE HELP IM STUCK ON THIS ONE ​

Answers

Answer:

1. 1/200

2. 15/2

3. 11/36

4. 8/5

Step-by-step explanation:

pls help me pls pls pls

Answers

Answer: I helped you. Troll!

(3a ^2 + 1) - ( 4+2a^2)

Answers

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

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