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

## Example Questions

### Example Question #11 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Explanation:

First find the square root of each number:

Then, solve accordingly:

### Example Question #12 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Explanation:

First, find the square root for each number:

Then, solve accordingly:

### Example Question #13 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Evaluate:

Explanation:

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

, so

, so

### Example Question #14 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Evaluate:

is undefined in the set of real numbers.

is undefined in the set of real numbers.

Explanation:

Since negative numbers do not have square roots in the real number system,  is undefined - and, subsequently, so is  - in the set of real numbers.

### Example Question #15 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Explanation:

First, find the square root for each:

Then, multiply:

### Example Question #16 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the square root of ?

Explanation:

In order to find the square root of 5625, we must find a number that when multiplied by itself, gives a product of 5625.  Since , our answer is .

### Example Question #11 : Squares / Square Roots

What is the square root of the sum of  and ?

Explanation:

In order to find the square root of the sum of and , we must first find the sum by adding them together.

Next we must find a number that when multiplied by itself yields a product of 100.  Since , our answer is .

### Example Question #18 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Explanation:

First, find the square roots:

Then, solve accordingly:

### Example Question #11 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Explanation:

FIrst, find the square roots:

Then solve accordingly: