Question

Please help thank you

Answer 1

Answer:

see this attachment

thanks

Answer 2

Step-by-step explanation:

1)

$= \frac{ \sqrt{5} + \sqrt{2} }{\sqrt{5} - \sqrt{2}} \\ = \frac{( \sqrt{5} + \sqrt{2} )( \sqrt{5} + \sqrt{2} )}{(\sqrt{5} - \sqrt{2})( \sqrt{5} + \sqrt{2}) } \\ = \frac{5 + 2 + 2 \sqrt{10} }{5 - 2} \\ = \frac{7 + 2 \sqrt{2} }{3}$

2)

$= \frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5}} \\ =\frac{(7 + 3 \sqrt{5})(7 + 3 \sqrt{5}) }{(7 - 3 \sqrt{5})(7 + 3 \sqrt{5})} \\ = \frac{49 + 45 + 42 \sqrt{5} }{49 - 42} \\ = \frac{94 + 42 \sqrt{5} }{7} \\ = 12 + 6 \sqrt{5}$