Question

Rationalise the following:
(Root3-1) / (root3+1)

Answer 1

`2-√(3)`

Explanation:

`\begin{aligned}(√(3)-1)/(√(3)+1)* (√(3)-1)/(√(3)-1) &=((√(3)-1)(√(3)-1))/((√(3)+1)(√(3)-1))\\\\ & =(√(3)√(3)-√(3)-√(3)+1)/(√(3)√(3)-√(3)+√(3)-1)\\\\ & =(4-2√(3))/(2)\\\\ & = 2-√(3)\end{aligned}`