Question

rationalize the denominator of : 3/√5-√2​

Answer 1

Answer:

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