Question

solve this questions​

Answer 1

Answer:

1)

$\frac{1}{ \sqrt{5} + \sqrt{2} } \\ = \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ = \frac{ \sqrt{5 }- \sqrt{2} }{3} </p><p>$

2)

$\frac{1}{ \sqrt{7} - 2 } \\ = \frac{1}{ \sqrt{7} - 2 } \times \frac{ \sqrt{7} + 2}{ \sqrt{7} + 2} \\ = \frac{ \sqrt{7} + 2}{ 7 - 4} \\ = \frac{ \sqrt{7} + 2 }{3}$

Simplify

1)

$\frac{2 + \sqrt{5} }{2 - \sqrt{5} } + \frac{2 - \sqrt{5} }{2 + \sqrt{5} } \\ </p><p> \frac{9 + 4 \sqrt{5} + 9 - 4\sqrt{5} }{ - 1} \\ = \frac{18}{ - 1} \\ = - 18$

hope it helps