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

5372 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Three points have coordinates A(-8, 6), B(4, 2) and C(-1, 7). The line through C perpendicular to AB intersects AB at the point P. Find the equations of the line AB and CP.


Solve algebraically the simultaneous equations: x^2 + 3x + 10 = y and; 4 - 2x = y. Give answers as co-ordinates.


Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?


X^2 - 4y = -8 y=3


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences