Question

6sqrt8-2sqrt32
_______________=
sqrt2+sqrt6

Answer 1

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Answer 2

-2+2sqrt3

Answer 3

4/(1+root3)

Answer 4

root8 = 2root2
root32 = 4root2
root6 = root2 x root3

Putting these and resolving u get 4/(1+root3)

Answer 5

further we have to rationalise as follows:

Answer 6

makes the whole equation again please

Answer 7

4/(1+sqrt3) is the same as -2+2sqrt3
Just written out differently

Answer 8

4 1-root3
------- x ---------
1+root3 1-root3

4-4root3 4-4root3 -2(-2 + 2root3)
---------------- = ----------- = --------------- = -2 + 2root3
(1)^2 - (root3)^2 1 - 3 -2

Answer 9

u r right Eliza, it took me time to write the further steps

Answer 10

Thanks I didn't write like that to be nasty
I used a calculator then I was writing that to show you were right as well
:)1

Answer 11

No offence taken Elliza, i knew what u meant.....
In India we do not use calculators but all calculation is by hand :))
so it takes time.....

Answer 12

You're still pretty quick
You must be really good at mental arithmatics

Answer 13

thanks, i know people who r faster than me !!!!

By the way when u say "calculator" is it the device or programs used for making calculations

Answer 14

Device
N England you need them ffor exams well maybe not need them but everyone else does so it puts you at a disadvantage if you don't have one