Question

If $\frac{5-\sqrt{3}}{2+\sqrt{3}}=x+y\sqrt{3}$, then

(a) x = 13, y = −7

(b) x = −13, y = 7

(c) x = −13, y = −7

(d) x = 13, y = 7

Answer 1

Given that: .We need to find x and y

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

Since

On equating rational and irrational terms, we get

Hence, the correct choice is.