# GED Math : Square Roots and Radicals

## Example Questions

### Example Question #11 : Square Roots And Radicals

Factor:

Explanation:

In order to factor this, we will need to rewrite root 88 by factoring using values of perfect squares.

### Example Question #12 : Square Roots And Radicals

Rationalize:

Explanation:

In order to rationalize the radical, we will need to multiply both the top and bottom by square root two.

### Example Question #13 : Square Roots And Radicals

Rationalize:

Explanation:

In order to eliminate the radical on the denominator, we will need to multiply root five on the top and bottom of the fraction.

### Example Question #14 : Square Roots And Radicals

Rationalize:

Explanation:

Simplify the denominator by factoring using perfect squares.

Rewrite the fraction.

Multiply the top and bottom by root 5.

### Example Question #15 : Square Roots And Radicals

Rationalize:

Explanation:

Factor the denominator by factors of perfect squares.

Replace the term.

Multiply by root three on the top and bottom.

### Example Question #16 : Square Roots And Radicals

Rationalize:

Explanation:

Multiply by root 14 on the top and bottom of the fraction.

The fraction becomes:

Simplify the radical with factors of perfect squares.

Reduce the fraction.

### Example Question #17 : Square Roots And Radicals

Explanation:

Multiply the radical on the top and bottom of the given fraction.

Simplify the fraction.

### Example Question #18 : Square Roots And Radicals

Rationalize:

Explanation:

Multiply the radical on the top and bottom of the fraction.

Reduce the fraction.

### Example Question #19 : Square Roots And Radicals

Rationalize:

Explanation:

Multiply the denominator on the top and bottom.

### Example Question #20 : Square Roots And Radicals

Simplify the following expression: