Question

If $\sqrt{5}=2.236$ and $\sqrt{3}=1.732$, then the value of $\frac{2}{\sqrt{5}+\sqrt{3}}+\frac{7}{\sqrt{5}-\sqrt{3}}$ is

• A. 14
• B. 14.39
• C. 14.392
• D. 16

Answer 1

The correct option is C 14.392

Given,

$\frac{2}{\sqrt{5}+\sqrt{3}}+\frac{7}{\sqrt{5}-\sqrt{3}}$

$=\frac{2}{2.236+1.732}+\frac{7}{2.236-1.732}$(putting the values of $\sqrt{5}and\sqrt{3}$)

$=\frac{2}{3.968}+\frac{7}{0.504}$

$=0.504+13.888$

$=14.392$