Rationalise the denominator of (6 + 5√3 )/√3 Give your answer in its simplest form.

A key component of using Surds is knowing how to multiply them. As such √3 x √3 = 3, √4 x √4 = 4 and so on. The √ sign means the root of this number.

On to the Question given we are asked to rationalise the denominator. This means to remove our root value from the bottom half of the fraction given so that we have a nice whole number instead. Our first step is to realise that by multiplying the bottom by √3 we will instead get 3, but if we only multiply the bottom by √3 then we are changing the value of our fraction overall, so we do the same to the top to keep it the same. After this we have (6√3 + (5√3 x √3))/3, which is equal to (6√3 +15)/3. We are then asked to give our answer in its simplest form, so by cancelling factors we then arrive at our final answer of 2√3 + 5.

AF
Answered by Adam F. Maths tutor

6747 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Given the equations: x + 3y = 1 and 2x - y = -5, solve for x and y.


Solve 7(k-3)=3k-5


A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.


These are the selling prices of 5 houses in 2007: £145 000, £170 000, £215 000, £90 000, £180 000 (a) Work out the mean selling price.


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