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ISEE Middle Level Math : How to find the square root

Study concepts, example questions & explanations for ISEE Middle Level Math

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #291 : How To Find The Square Root

$4\sqrt{144} + 3\sqrt{64} =$

Possible Answers:

x =64

x = 72

x = 40

x = 62

Correct answer:

x = 72

Explanation:

First find the square root of 144; which is 12. Then multiply:

$4 \times 12 = 48$

Then find the square root of 64, which is 8. Then multiply:

$8 \times 3 = 24$

Then add those two numbers together:

24 + 48 = 72

The answer is 72.

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Example Question #291 : Squares / Square Roots

Simplify the following:

$\sqrt{64}$

Possible Answers:

$\pm8$

Correct answer:

$\pm8$

Explanation:

To simplify $\sqrt{64}$ , we will look at the definition of square roots.

$\sqrt{64} = \square$

$\square^2 = 64$

We know the square root of a number is the same as taking that number and squaring it.

So, what number do we square to get 64?

The answer is 8.

$\sqrt{64} = \pm8$

$(\pm8)^2 = 64$

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Example Question #291 : Squares / Square Roots

$\sqrt{0.49}$

Possible Answers:

0.00007

0.007

0.7

Correct answer:

0.7

Explanation:

$\sqrt{0.49} = 0.7$

Because $0.7 \times 0.7 - 0.49$

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Example Question #294 : How To Find The Square Root

Solve:

$x^{2} =\frac{64}{144}$

Possible Answers:

$x = \pm \frac{3}{2}$

$\pm8$

$x = \pm \frac{2}{3}$

$\pm12$

Correct answer:

$x = \pm \frac{2}{3}$

Explanation:

$x^{2} =\frac{64}{144}$

Take the square root of each side

$\sqrt{x^{2}} = \frac{\sqrt{64}}{\sqrt{144}} or - \frac{\sqrt{64}}{\sqrt{144}}$

$x = \frac{8}{12} or -\frac{8}{12}$

Reduce to simplest form

$x = \pm \frac{2}{3}$

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Example Question #295 : How To Find The Square Root

Estimate $\sqrt{82}$ to the nearest whole number.

Possible Answers:

Correct answer:

Explanation:

The first perfect square less than 82 is 81.

The first perfect square greater than 82 is 100.

$\sqrt{81} < \sqrt{82} < \sqrt{100}$

$9< \sqrt{82} < 10$

$\sqrt{82}$ is between and 10.

Since is closer to than to 100, the best whole number estimate for

$\sqrt{82}$ is

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Example Question #296 : How To Find The Square Root

Estimate to the nearest whole number.

$\sqrt{14.3}$

Possible Answers:

Correct answer:

Explanation:

$\sqrt{14.3}$

The first perfect square less than 14.3 is .

The first perfect square greater than 14.3 is 16.

$\sqrt{9}< \sqrt{14.3} < \sqrt{16}$

$3< \sqrt{14.3} < 4$

Therefore the $\sqrt{14.3}$ lies between and

Because 14.3 is closer to 16, the best whole number estimate for $\sqrt{14.3}$ is

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Example Question #292 : Squares / Square Roots

Solve by finding the square root:

$\sqrt{49}*7$

Possible Answers:

Correct answer:

Explanation:

First, find the square root:

$\sqrt{49}=7$

Then, solve:

7*7=49

Answer:

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Example Question #293 : Squares / Square Roots

Solve by finding the square roots:

$\sqrt{64}\div \sqrt{16}$

Possible Answers:

Correct answer:

Explanation:

First, the square roots:

$\sqrt{64}=8$

$\sqrt{16}=4$

Then solve:

$8\div 4=2$

Answer:

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Example Question #294 : Squares / Square Roots

Solve:

$\sqrt{121}*\sqrt{49}=$

Possible Answers:

170

Correct answer:

Explanation:

To solve, first find the square root:

$\sqrt{121}=11$

$\sqrt{49}=7$

Then, solve: 11*7=77

Answer:

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Example Question #295 : Squares / Square Roots

Solve: $\sqrt{25}*\sqrt{169}=$

Possible Answers:

224

Correct answer:

Explanation:

To solve, first find the square root:

$\sqrt{25}=5$

$\sqrt{169}=13$

Then, solve: 5*13=65

Answer:

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find the square root

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #291 : How To Find The Square Root

Example Question #291 : Squares / Square Roots

Example Question #291 : Squares / Square Roots

Example Question #294 : How To Find The Square Root

Example Question #295 : How To Find The Square Root

Example Question #296 : How To Find The Square Root

Example Question #292 : Squares / Square Roots

Example Question #293 : Squares / Square Roots

Example Question #294 : Squares / Square Roots

Example Question #295 : Squares / Square Roots

All ISEE Middle Level Math Resources

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