Question

rationalizating factor of 3 by root 3 - root 2​

Answer 1

$\mathfrak{\huge{Answer:-}} \\ \bold{\frac{3}{ \sqrt{3} - \sqrt{2}}} \\ = \frac{3}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ = \frac{3( \sqrt{3} + \sqrt{2} )}{( \sqrt{3} - \sqrt{2} )( \sqrt{3} + \sqrt{2}) } \\ = \frac{3( \sqrt{3} + \sqrt{2}) }{ {( \sqrt{3} )}^{2} - {( \sqrt{2} )}^{2} } \\ = \frac{3( \sqrt{3} + \sqrt{2}) }{3 - 2} \\ = \frac{3( \sqrt{3} + \sqrt{2}) }{1} \\ = 3( \sqrt{3} + \sqrt{2} ) \\ \boxed{\boxed{\large{\bold{ \frac{3}{ \sqrt{3} - \sqrt{2} } = 3( \sqrt{3} + \sqrt{2} ) }}}}$