Maths help, im not really sure what it is?

2009-05-17 10:57 am
I am revising by doing past papers for my exam and all, and this question came up and i have no idea where to start!
could you please explain it so i know how to do it?

(square root sign over 27 + 3) (square root sign over 6 - square root sign over 2)

They dont have the wierd square root tick thing so ive just put it in words,
please help :)

回答 (3)

2009-05-17 2:51 pm
✔ 最佳答案
You may do it as follows:

 (√27 + 3)(√6 - √2)
= (3√3 + 3)(√2⋅√3 - √2)
= 3(√3 + 1)⋅√2(√3 - 1)
= 3√2(√3 + 1)(√3 - 1) ... [Difference of 2 squares]
= 3√2(3 - 1)
= 6√2
2009-05-17 11:24 am
lol. I remember this question from an AQA GCSE exam.

(√27 + 3)(√6 - √2)
= (3√3 + 3)(√6 - √2)
= 3√18 - 3√6 + 3√6 - 3√2
= 3(√9 * √2) - 3√2
= 9√2 - 3√2
= 6√2
2009-05-17 11:20 am
use the distributive property

(root27+3)(root6-root2)
=root27(root6-root2)+3(root6-root2)
=root162-root54+3root6-3root2
=9root2-3root6+3root6-3root2
=6root2


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