Question

I have a doubt jdkrjd7emsowhdfkrkhnri

Answer 1

Answer:

d) 2

Step-by-step explanation:

$\frac{7}{ \sqrt{5 } - \sqrt{3} } = \frac{7}{ \sqrt{5 } - \sqrt{3} } \times \frac{ \sqrt{5 } + \sqrt{3} }{ \sqrt{5} + \sqrt{3} }$

$\: \: \: \: \: \: \: \: \: \: = \frac{7( \sqrt{5} + \sqrt{3}) }{( \sqrt{5} ) {}^{2} - ( \sqrt{3} ) {}^{2} }$

$\: \: \: \: \: \: \: \: \: \: = \frac{7( \sqrt{5} + \sqrt{3}) }{5 - 3}$

$\: \: \: \: \: \: \: \: \: \: = \frac{7( \sqrt{5} + \sqrt{3} )}{2}$

Hence the denominator is 2.