Question

plz solve anyone it's urgent

Answer 1

hey.....here it is...

Answer 2

$Given : \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}$

$= > \frac{15}{\sqrt{10} + \sqrt{4 * 5} + \sqrt{4 * 10} - \sqrt{5} - \sqrt{16 * 5}}$

$= > \frac{15}{\sqrt{10} + 2\sqrt{5} + 2\sqrt{10} - \sqrt{5} - 4\sqrt{5}}$

$= > \frac{15}{3\sqrt{10} - 3\sqrt{5}}$

$= > \frac{15}{3(\sqrt{10} - \sqrt{5})}$

$= > \frac{5}{\sqrt{10} - \sqrt{5}}$

$= > \frac{5}{\sqrt{10} - \sqrt{5}} * \frac{\sqrt{10} + \sqrt{5}}{\sqrt{10 + \sqrt{5}}}$

$= > \frac{5(\sqrt{10} + \sqrt{5})}{(\sqrt{10} - \sqrt{5})(\sqrt{10} + \sqrt{5})}$

$= > \frac{5(\sqrt{5} + \sqrt{10})}{(\sqrt{10})^2 - (\sqrt{5})^2}$

$= > \frac{5(\sqrt{10} + \sqrt{5})}{10 - 5}$

$= > \frac{5(\sqrt{10} + \sqrt{5})}{5}$

$= > \boxed{ \sqrt{10} + \sqrt{5} }}$

Therefore, the answer is Option (B).

Hope this helps!