Question

(root 3-1 divided by root3+1)(root 3 -1 divided by root 3-1)

Answer 1

Answer:

(√3-1/√3+1)(√3-1/√3-1)

Rationalising the denominator

[(√3-1)*(√3-1)/(√3+1)*(√3-1)]*[(√3-1)*(√3+1)/(√3-1)*(√3+1)]

[ (3+1-2√3)/(3+1)]*[(3+1)/(3+1)]

[(4-2√3)/4]*1

[2-√3/2]

Answer 2

Answer:

$2-\sqrt3$

Step-by-step explanation:

$\frac{\sqrt3-1}{\sqrt3+1}\times\frac{\sqrt3-1}{\sqrt3-1}=\frac{\sqrt3-1}{\sqrt3+1}\\=\frac{\sqrt3-1}{\sqrt3+1}\times\frac{\sqrt3-1}{\sqrt3-1}\\=\frac{(\sqrt3-1)^2}{\sqrt3^2-1^2}\\=\frac{3-2\sqrt3+1}{3-1}\\=\frac{4-2\sqrt3}{2}\\=2-\sqrt3$