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.


Your turn:

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.

Enter your answer here:
A =
B =

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