Question

Rationalize the denominators of 3÷√5+√2

Answer 1

Answer:

$\frac{3}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \frac{3 \sqrt{5} - 3 \sqrt{2} }{ { \sqrt{5} }^{2} - { \sqrt{2} }^{2} } \\ \frac{3 \sqrt{5 } - 3\sqrt{2} }{3} \\ \frac{3( \sqrt{5} - \sqrt{2} ) }{3} \\ \sqrt{5} - \sqrt{2}$