Part 16 - Surd rule for division inside a square root I | Maths Made Easy

# Surds GCSE Maths Revision

## Part 16 – Surd rule for division inside a square root I

Another useful rule m/n √(a/b)=m/n×√a/√b=(m√a)/(n√b).

Example:

Write √(5/3) as a fraction.

Worked Solution:

Use the rule m/n √(a/b)=m/n×√a/√b=(m√a)/(n√b)

√(5/3)=√5/√3 note: the m and n in this case are equal to 1, and 1/1=1 so there is no need to write it.

Write $\sqrt{\frac{21}{5}}$ as a fraction.

The answer can be written in the form: $\frac{\sqrt{A}}{\sqrt{B}}$

Find the value of A and B.