Rationalise the denominator of 2/(3-sqrt(2)).

First, rationalise the denominator by multiplying the top and bottom of the fraction by the conjugate of the denominator.(2/(3-sqrt(2)))((3+sqrt(2))/(3+sqrt(2)))Next, expand the brackets - notice there will be a difference of two squares on the bottom of the fraction.(6+(2sqrt(2)))/(9-2)Finally, simplify your answer.(6+2*(sqrt(2)))/7

SA
Answered by Sophia A. Maths tutor

5132 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3


v^2=u^2 + 2as u=12 a=-3 s = 18 Find v


Expand and Simplify: 6(2x+3) -x(3+(1/x))


Simplify 125^(-2/3)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences