What is (18)^1/2 -(8)^1/2 simplified?

In order to answer this we will break down the two surds into their factors. So we know that 18 is 2 multiplied by 9 and so (18)^1/2=(92)^1/2 which cane be broken down into (9)^1/2(2)^1/2 .We know that (9)^1/2=3 and so (18)^1/2=((2)^1/2)3For (8)^1/2 we have that 8=42 and so by the same method as above we have (8)^1/2=(4)^1/2*(2)^1/2=2(2)^1/2So (18)^1/2-(8)^1/2=3(2)^1/2-2(2)^1/2=(2)^1/2

HM
Answered by Hannah M. Maths tutor

2264 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

John invests £8000 at compound interest rate of 1.5% per year. He wants to earn more than £2000 in interest. What is the LEAST time in WHOLE years that this will take?


n is an integer such that 6-3n>18 and (-5n)/(n^2-6)>1. Find all the possible values of n.


Simplify (2^2)^3


Simplify and then solve by factorisation 3x(x+2)-7=2, to find x.


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:

© 2025 by IXL Learning