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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

Example Question #271 : How To Find The Square Root

Solve:

$\sqrt{169}-4=$ $\displaystyle \sqrt{169}-4=$

Possible Answers:

$\displaystyle 10$

$\displaystyle 9$

$\displaystyle 8$

$\displaystyle 7$

Correct answer:

$\displaystyle 9$

Explanation:

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

Then subtract: 13-4=9 $\displaystyle 13-4=9$

Answer: $\displaystyle 9$

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Example Question #272 : How To Find The Square Root

Solve:

$\sqrt{49}-6=$ $\displaystyle \sqrt{49}-6=$

Possible Answers:

$\displaystyle 2$

$\displaystyle 13$

$\displaystyle 43$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

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

Then subtract: 7-6=1 $\displaystyle 7-6=1$

Answer: $\displaystyle 1$

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Example Question #273 : How To Find The Square Root

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

Possible Answers:

160 $\displaystyle 160$

$\displaystyle 39$

178 $\displaystyle 178$

$\displaystyle 26$

Correct answer:

$\displaystyle 39$

Explanation:

First find the square roots:

$\sqrt{9}=3$ $\displaystyle \sqrt{9}=3$

$\sqrt{169}=13$ $\displaystyle \sqrt{169}=13$

Then multiply: 3*13=39 $\displaystyle 3*13=39$

Answer: $\displaystyle 39$

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Example Question #274 : How To Find The Square Root

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

Possible Answers:

$\displaystyle 78$

$\displaystyle 70$

$\displaystyle 72$

$\displaystyle 76$

Correct answer:

$\displaystyle 72$

Explanation:

First find the square roots:

$\sqrt{64}=8$ $\displaystyle \sqrt{64}=8$

$\sqrt{81}=9$ $\displaystyle \sqrt{81}=9$

Then multiply: 8*9=72 $\displaystyle 8*9=72$

Answer: $\displaystyle 72$

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Example Question #275 : How To Find The Square Root

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

Possible Answers:

$\displaystyle 7$

149 $\displaystyle 149$

$\displaystyle 70$

$\displaystyle 51$

Correct answer:

$\displaystyle 70$

Explanation:

First find the square roots:

$\sqrt{100}=10$ $\displaystyle \sqrt{100}=10$

$\sqrt{49}=7$ $\displaystyle \sqrt{49}=7$

Then multiply: 10*7=70 $\displaystyle 10*7=70$

Answer: $\displaystyle 70$

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Example Question #276 : How To Find The Square Root

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

Possible Answers:

$\displaystyle 5$

$\displaystyle 18$

$\displaystyle 65$

$\displaystyle 13$

Correct answer:

$\displaystyle 65$

Explanation:

First find the square roots:

$\sqrt{25}=5$ $\displaystyle \sqrt{25}=5$

$\sqrt{169}=13$ $\displaystyle \sqrt{169}=13$

Then find the product: 5*13=65 $\displaystyle 5*13=65$

Answer: $\displaystyle 65$

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Example Question #277 : How To Find The Square Root

Solve:

$\sqrt{49}(56)=$ $\displaystyle \sqrt{49}(56)=$

Possible Answers:

392 $\displaystyle 392$

900 $\displaystyle 900$

390 $\displaystyle 390$

$\displaystyle 90$

Correct answer:

392 $\displaystyle 392$

Explanation:

First, find the square root:

$\sqrt{49}=7$ $\displaystyle \sqrt{49}=7$

Then find the product:

$\displaystyle 7(56)=392$

Answer: 392 $\displaystyle 392$

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Example Question #278 : How To Find The Square Root

Solve:

$5^{2}*18=$ $\displaystyle 5^{2}*18=$

Possible Answers:

430 $\displaystyle 430$

410 $\displaystyle 410$

470 $\displaystyle 470$

450 $\displaystyle 450$

Correct answer:

450 $\displaystyle 450$

Explanation:

First square 5:

$5^{2}=25$ $\displaystyle 5^{2}=25$

Then multiply:

$\displaystyle 25*18=450$

Answer: 450 $\displaystyle 450$

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Example Question #279 : Squares / Square Roots

Evaluate:

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

Possible Answers:

$\frac{10}{11}$ $\displaystyle \frac{10}{11}$

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

$-\frac{10}{11}$ $\displaystyle -\frac{10}{11}$

$-\frac{11}{10}$ $\displaystyle -\frac{11}{10}$

$\frac{11}{10}$ $\displaystyle \frac{11}{10}$

Correct answer:

$\frac{10}{11}$ $\displaystyle \frac{10}{11}$

Explanation:

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

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

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Example Question #280 : Squares / Square Roots

Evaluate:

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

Possible Answers:

$\displaystyle -5$

$\displaystyle 5$

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

$- \frac{1}{5}$ $\displaystyle - \frac{1}{5}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Correct answer:

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

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 $5 ^{3} = 5 \times 5 \times 5 = 125$ $\displaystyle 5 ^{3} = 5 \times 5 \times 5 = 125$ , $\sqrt[3]{125} = 5$ $\displaystyle \sqrt[3]{125} = 5$ , 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

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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 #271 : How To Find The Square Root

Example Question #272 : How To Find The Square Root

Example Question #273 : How To Find The Square Root

Example Question #274 : How To Find The Square Root

Example Question #275 : How To Find The Square Root

Example Question #276 : How To Find The Square Root

Example Question #277 : How To Find The Square Root

Example Question #278 : How To Find The Square Root

Example Question #279 : Squares / Square Roots

Example Question #280 : Squares / Square Roots

All ISEE Middle Level Math Resources

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