# SSAT Middle Level Math : How to find the square root

## Example Questions

Evaluate:

Explanation:

, so .

,  so .

### Example Question #12 : How To Find The Square Root

Let

Then which of the following statements is correct?

Explanation:

, so

### Example Question #11 : How To Find The Square Root

Let

Which of the following is a true statement?

Explanation:

Since

### Example Question #12 : How To Find The Square Root

Which of the answer choices is equivalent to ?

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 ?

Explanation:

The square root of  is , since .

### Example Question #14 : How To Find The Square Root

Which of the answer choices is equivalent to ?

Explanation:

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

13

56

0

14

10

14

Explanation:

If , then .

Therefore, .

### Example Question #15 : How To Find The Square Root

Evaluate:

is undefined.

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:

is an undefined quantity.

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

.