Question

Please solve it!!!
I'll be so glad :D

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{5} + \sqrt{2} } \\ = \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ = \frac{ \sqrt{5} - \sqrt{2} }{ { \sqrt{5} }^{2} - { \sqrt{2} }^{2} } \\ = \frac{ \sqrt{5} - \sqrt{2} }{3}$

$\frac{ \sqrt{5} - \sqrt{2} }{1} - \frac{ \sqrt{5} - \sqrt{2} }{3 } \\ = \frac{3( \sqrt{5} - \sqrt{2}) }{3} - \frac{ \sqrt{5} - \sqrt{2} }{3} \\ = \frac{3 \sqrt{5} - 3 \sqrt{2} }{3} - \frac{ 1\sqrt{5} - 1\sqrt{2} }{3} \\ = \frac{3 \sqrt{5} - 1 \sqrt{5} - 3\sqrt{2} + 1 \sqrt{2} }{3} \\ = \frac{2 \sqrt{5 } - 2 \sqrt{2} }{3}$

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