SSAT Middle Level Math : How to find the square root

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

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Example Questions

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Example Question #1 : How To Find The Square Root

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

Find the individual square roots and perform the operations on them.

Example Question #2 : How To Find The Square Root

The square root of a number is 43. What is that number?

Possible Answers:

Correct answer:

Explanation:

By definition, the square root of a number multiplied by itself yields that number. Therefore, 43 is the square root of .

Example Question #3 : How To Find The Square Root

The square root of a number is 58. What is that number?

Possible Answers:

Correct answer:

Explanation:

By definition, the square root of a number multiplied by itself yields that number. Therefore, 

.

Example Question #4 : How To Find The Square Root

Possible Answers:

Correct answer:

Explanation:

First, find the square root of each number:

Then, solve the equation accordingly.

The answer is

Example Question #5 : How To Find The Square Root

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since .

Example Question #6 : How To Find The Square Root

Which of the following statements is true about ?

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since .

Example Question #7 : How To Find The Square Root

Which of the following statements is true about ?

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number.  Since ,  , and

 

then 

Example Question #8 : How To Find The Square Root

Evaluate:

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since .

Example Question #9 : How To Find The Square Root

Which of the following statements is true about  ?

Possible Answers:

 is undefined in the set of real numbers.

Correct answer:

 is undefined in the set of real numbers.

Explanation:

A negative number does not have a real square root, so this is the correct choice.

Example Question #10 : How To Find The Square Root

A square has an area of .  

How long is each of its sides?

Possible Answers:

Correct answer:

Explanation:

The two sides of the square must be the same length, and multiply to give 16.  So we are looking for the  which is .

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