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ISEE Middle Level Math : Squares / Square Roots

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

Example Question #271 : Squares / Square Roots

Solve:

$\sqrt{169}-4=$

Possible Answers:

Correct answer:

Explanation:

First find the square root: $\sqrt{169}=13$

Then subtract: 13-4=9

Answer:

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Example Question #272 : Squares / Square Roots

Solve:

$\sqrt{49}-6=$

Possible Answers:

Correct answer:

Explanation:

First find the square root: $\sqrt{49}=7$

Then subtract: 7-6=1

Answer:

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Example Question #273 : Squares / Square Roots

$\sqrt{9}*\sqrt{169}=$

Possible Answers:

160

178

Correct answer:

Explanation:

First find the square roots:

$\sqrt{9}=3$

$\sqrt{169}=13$

Then multiply: 3*13=39

Answer:

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Example Question #274 : Squares / Square Roots

$\sqrt{64}*\sqrt{81}=$

Possible Answers:

Correct answer:

Explanation:

First find the square roots:

$\sqrt{64}=8$

$\sqrt{81}=9$

Then multiply: 8*9=72

Answer:

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Example Question #275 : Squares / Square Roots

$\sqrt{100}*\sqrt{49}=$

Possible Answers:

149

Correct answer:

Explanation:

First find the square roots:

$\sqrt{100}=10$

$\sqrt{49}=7$

Then multiply: 10*7=70

Answer:

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Example Question #276 : Squares / Square Roots

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

Possible Answers:

Correct answer:

Explanation:

First find the square roots:

$\sqrt{25}=5$

$\sqrt{169}=13$

Then find the product: 5*13=65

Answer:

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Example Question #277 : Squares / Square Roots

Solve:

$\sqrt{49}(56)=$

Possible Answers:

392

900

390

Correct answer:

392

Explanation:

First, find the square root:

$\sqrt{49}=7$

Then find the product:

7(56)=392

Answer: 392

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Example Question #278 : Squares / Square Roots

Solve:

$5^{2}*18=$

Possible Answers:

470

450

430

410

Correct answer:

450

Explanation:

First square 5:

$5^{2}=25$

Then multiply:

25*18=450

Answer: 450

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Example Question #279 : How To Find The Square Root

Evaluate:

$\sqrt{\frac{100}{121}}$

Possible Answers:

$-\frac{11}{10}$

$\sqrt{\frac{100}{121}}$ is undefined.

$\frac{10}{11}$

$-\frac{10}{11}$

$\frac{11}{10}$

Correct answer:

$\frac{10}{11}$

Explanation:

To find the square root of a fraction, extract the square root of both the numerator and the denominator. Since $10 ^{2} = 10 \times 10 = 100$ , $\sqrt{100} = 10$ , and since $11^{2} = 121$ , $\sqrt{121} = 11$ . and

$\sqrt{\frac{100}{121}} = \frac{\sqrt{100}}{\sqrt{121}} = \frac{10}{11}$

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Example Question #279 : How To Find The Square Root

Evaluate:

$\sqrt[3]{\frac{1}{125}}$

Possible Answers:

$\sqrt[3]{\frac{1}{125}}$ is undefined.

$- \frac{1}{5}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

The cube root of a number is the quantity which, when raised to the power of 3, gives that number.

To find the cube root of a fraction, extract the cube root of both the numerator and the denominator. Since $5 ^{3} = 5 \times 5 \times 5 = 125$ , $\sqrt[3]{125} = 5$ , and

$\sqrt[3]{\frac{1}{125}} =\frac{ \sqrt[3]{1}}{ \sqrt[3]{125}}} = \frac{1}{5}$ .

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All ISEE Middle Level Math Resources

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

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ISEE Middle Level Math : Squares / Square Roots

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #271 : Squares / Square Roots

Example Question #272 : Squares / Square Roots

Example Question #273 : Squares / Square Roots

Example Question #274 : Squares / Square Roots

Example Question #275 : Squares / Square Roots

Example Question #276 : Squares / Square Roots

Example Question #277 : Squares / Square Roots

Example Question #278 : Squares / Square Roots

Example Question #279 : How To Find The Square Root

Example Question #279 : How To Find The Square Root

All ISEE Middle Level Math Resources

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