Question

Express 5/√7 - √2 with a rational denominator

Answer 1

Solution is in the attachment....

Answer 2

Hey user

Here is your answer :-

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

thank you.