Simplifying Square Roots

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

How to Simplifying Square Roots

Rule

Simplifying Square Roots 

where a, b > 0

Example

√45 = √(9×5)

√45 = √9 x √5

√45 = 3√5

Simplifying Square Roots for Fractions

Rule

Simplifying Square Roots For Fractions
Example

Simplifying Square Roots For Fractions Example

Surds

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

Learn More

Reciprocal of Number

Table of Factors and Multiples

Common Factor

Complex Numbers

Algebra Index

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