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

## Example Questions

### Example Question #111 : How To Find The Square Root

Evaluate:

Explanation:

Fisrt we need to find the square root of each number and simplify them as follows:

Now we can insert the square roots into the equation:

### Example Question #112 : How To Find The Square Root

If , evaluate .

Explanation:

Since , we can substitute it into the given equation:

Now we should find the square root of each number and simplify:

### Example Question #113 : How To Find The Square Root

Evaluate:

Explanation:

First, find the square root of the numbers:

Then, solve the equation:

### Example Question #114 : How To Find The Square Root

Evaluate:

Explanation:

First find the square root of each number:

Now we can solve it accordingly:

### Example Question #115 : How To Find The Square Root

Which of the following is true about ?

Explanation:

We know:

Therefore:

### Example Question #116 : How To Find The Square Root

If is a real number, simplify .

is undefined for the set of all real numbers.

is undefined for the set of all real numbers.

Explanation:

is always a positive number for the set of real numbers, so is always a negative number for the set of real numbers. Since negative numbers do not have square roots in the real number system, is undefined in the set of real numbers and therefore is undefined as well.

### Example Question #117 : How To Find The Square Root

Find :

Explanation:

First, find the square root of each expression:

Now solve the equation for :

Find :

Explanation:

### Example Question #112 : How To Find The Square Root

Evaluate:

Explanation:

First find the square roots:

Evaluate: