# Math Help - Simplifying an algebraic equation

1. ## Simplifying an algebraic equation

Hello guys,

I'm currently trying to show how

sqrt(6) - sqrt(2) / 4 = sqrt( 2 - sqrt(3) ) / 2

My first step was to multiply sqrt(6) - sqrt(2) by 1/4, but after that I get stuck. My algebra is slightly rusty! Would somebody be nice enough to walk me step by step on how to prove this equation. I'm not getting anywhere... Thanks!

2. ithink this will do...

take this LHS...

(sqrt(6) - sqrt(2))/ 4

taking square
we get,

= (6+2-2sqrt(12))/16
= (8-2sqrt(12))/16
taking 2 out, and cancelling we get,

= (4-sqrt(12))/8
= (4 -(sqrt(3)*sqrt(4)))/8 sqrt(4) = 2
taking 2 out side and cancelling with denominator we get,
= (2-sqrt(3))/4
taking sqrt now we get,