Question

rationalize the denominator 3÷√5 +√2​

Answer 1

Answer:

$\frac{3}{ \sqrt{5} + \sqrt{2} }$

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

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

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

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

$= \sqrt{5} - \sqrt{2}$

Step-by-step explanation:

Mark as brainlist answer.