How do I simplify a surd?

To simplify a surd, remember thatsqrt(a*b) = sqrt(a)sqrt(b)If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number inside the square root that are sqaure numbers.For example, sqrt(20) = sqrt(45) = sqrt(4)*sqrt(5)sqrt(4) = 2 therefore sqrt(20) = 2sqrt(5)

HM
Answered by Hayden M. Maths tutor

7938 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve x^2 - 2x - 15 = 0


How do you turn 0.11111... (recurring) into a fraction


The longest side in a right-angled triangle is 12cm. One of the shorter sides is 4 cm. Calculate the perimeter of the triangle


A roll of card has an area of 43 m^2. A postcard has an area of 125 cm^2. How many post cards can be cut from the roll, assuming there is no wastage? (calculator question)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning