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

## Example Questions

### Example Question #291 : Squares / Square Roots

Explanation:

First find the square root of 144; which is 12.  Then multiply:

Then find the square root of 64, which is 8. Then multiply:

Then add those two numbers together:

### Example Question #292 : Squares / Square Roots

Simplify the following:

Explanation:

To simplify , we will look at the definition of square roots.

We know the square root of a number is the same as taking that number and squaring it.

So, what number do we square to get 64?

Explanation:

Because

### Example Question #294 : Squares / Square Roots

Solve:

Explanation:

Take the square root of each side

Reduce to simplest form

### Example Question #295 : Squares / Square Roots

Estimate   to the nearest whole number.

Explanation:

The first perfect square less than 82 is 81.

The first perfect square greater than 82 is 100.

is between  and

Since  is closer to  than to  the best whole number estimate for

is

### Example Question #296 : Squares / Square Roots

Estimate to the nearest whole number.

Explanation:

The first perfect square less than  is .

The first perfect square greater than  is

Therefore the  lies between  and

Because 14.3 is closer to 16, the best whole number estimate for   is

### Example Question #297 : Squares / Square Roots

Solve by finding the square root:

Explanation:

First, find the square root:

Then, solve:

### Example Question #298 : Squares / Square Roots

Solve by finding the square roots:

Explanation:

First, the square roots:

Then solve:

### Example Question #299 : Squares / Square Roots

Solve:

Explanation:

To solve, first find the square root:

Then, solve:

Solve: