# SSAT Middle Level Math : Squares / Square Roots

## Example Questions

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### Example Question #1 : How To Find The Square Root

Evaluate:

Explanation:

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

### Example Question #1 : Squares / Square Roots

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

Explanation:

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

### Example Question #2 : How To Find The Square Root

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

Explanation:

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

.

### Example Question #2 : Squares / Square Roots

Explanation:

First, find the square root of each number:

Then, solve the equation accordingly.

### Example Question #3 : Squares / Square Roots

Evaluate:

Explanation:

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

### Example Question #4 : Squares / Square Roots

Which of the following statements is true about ?

Explanation:

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

### Example Question #3 : How To Find The Square Root

Which of the following statements is true about ?

Explanation:

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

then

### Example Question #6 : Squares / Square Roots

Evaluate:

Explanation:

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

### Example Question #7 : Squares / Square Roots

Which of the following statements is true about  ?

is undefined in the set of real numbers.

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 #3 : How To Find The Square Root

A square has an area of .

How long is each of its sides?