Show that (4+√12)(5-√3)= 14+6√3

First, expand out the brackets. Initially, this will give you 20 - 4√3 + 5√12 - √36.

√36 is the equivalent of 6, now giving up 20 - 4√3 + 5√12 - 6. We can combine the 20 and the 6 to give us 14 - 4√3 + 5√12.

Now, let's look at 5√12. √12 is the same as √4 x √3. √4 is the same as 2, so we have 2√3. We then substitute in 2√3 as √12, giving us 5(2√3). This then becomes 10√3.

We then have 14 - 4√3 + 10√3. We can then do 10√3 - 4√3, which gives us 6√3.

Altogether, this gives us our answer of 14 + 6√3!

LH
Answered by Lucy H. Maths tutor

9344 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you work out the tangent to a circle at a given point on the circle?


A line passes through the points (-2,1) and (4,4). Find the equation of the line in the form y = mx + c


Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.


Write as a single fraction in it's simplest form: 2/(y+3)-1/(y-6)


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