Question

If $\frac{\sqrt{3-1}}{\sqrt{3}+1}$ = $a-b\sqrt{3}$, then

(a) a = 2, b =1

(b) a = 2, b =−1

(c) a = −2, b = 1

(d) a = b = 1

Answer 1

Given that:

We are asked to find a and b

We know that rationalization factor for is . We will multiply numerator and denominator of the given expression by, to get

On equating rational and irrational terms, we get

Comparing rational and irrational part we get

Hence, the correct choice is.