To simplify a square root, make the number inside the square root as small as possible.

Table of Contents

## How to Simplifying Square Roots

### Rule

where a, b > 0

Example

√45 = √(9×5)

√45 = √9 x √5

√45 = 3√5

## Simplifying Square Roots for Fractions

### Rule

Example

## Surds

Surd is a root we can’t simplify further. So √5 is a surd. But √9 = 3 is not a surd.