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Simplify \((\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{...

Simplify (15+3153)×13

A.

35

B.

237

C.

-2

D.

-1

Correct answer is D

(15+3153)×13

15+3153

(53)(5+3)(5+3)(53)

= 5353515+153

= 232

= 3

\therefore (\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}) \times \frac{1}{\sqrt{3}} = - \sqrt{3} \times \frac{1}{\sqrt{3}}

= -1