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

Example Question #11 : How To Find The Square Root

Evaluate:

Possible Answers:

Correct answer:

Explanation:

, so .

,  so .

Example Question #12 : How To Find The Square Root

Let 

Then which of the following statements is correct?

Possible Answers:

Correct answer:

Explanation:

 

, so

Example Question #11 : How To Find The Square Root

Let 

Which of the following is a true statement?

Possible Answers:

Correct answer:

Explanation:

Since 

Example Question #12 : How To Find The Square Root

Which of the answer choices is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

 can also be written as , so  can also be written as , or .

Example Question #13 : How To Find The Square Root

What is the square root of ?

Possible Answers:

Correct answer:

Explanation:

The square root of  is , since .

Example Question #14 : How To Find The Square Root

Which of the answer choices is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

Recognize that . Since , we can move the  outside of the radical sign. This leaves us with .

Example Question #28 : Expressions & Equations

Possible Answers:

13

56

0

14

10

Correct answer:

14

Explanation:

If , then .

Therefore, .

Example Question #15 : How To Find The Square Root

Evaluate: 

Possible Answers:

 is undefined.

Correct answer:

Explanation:

To find the square root of a fraction, extract the square root of both the numerator and the denominator. Since , and since .

Combine these results:

Example Question #16 : How To Find The Square Root

Evaluate: 

Possible Answers:

 is an undefined quantity.

Correct answer:

Explanation:

, so 

.

The square root of a fraction can be determined by taking the square roots of both numerator and denominator. Since , and since . Therefore, 

.

Example Question #17 : How To Find The Square Root

Note: The square root of a number is the number times itself. For example the square root of 4 is 2 because 2 x 2 = 4 or 2 squared is 4.

Find the square root of 

.

Possible Answers:

Correct answer:

Explanation:

So we are looking for a number that when it is squared is equal to 144. At this point you have to take some guesses. 

Your getting closer

So it must be between 11 and 13, lets try 12.

So 12 is the answer.

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