Question

Simplify $\frac{√3-1}{√3+1}$

Answer 1

Answer:

2-√3

Step-by-step explanation:

Given √3-1/√3+1

We know that rationalization factor for √3+1 is √3-1. We will multiply numerator and denominator of the given expression √3-1/√3+1 by √3-1, to get

√3-1/√3+1×√3-1/√3-1= (√3)^2+(1)^2-2×√3+1/(√3)^2-(1)^2

= 3+1-2√3/3-1

=4+2√3/2

=2-√3