Question

Rationalize the denominator of 2/√3+√2​

Answer 1

Step-by-step explanation:

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

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

$\frac{2 \sqrt{3} - 2 \sqrt{2} }{3 - 2}$

$2 \sqrt{3} - 2 \sqrt{2}$