Question

Rationalize 1/2√3+√2
Plz fast its imp​

Answer 1

$\color{aqua}answer : -$

$\frac{2 \sqrt{3} - \sqrt{2} }{10}$

$\color{violet}explanation : -$

$- - \geqslant \frac{1}{2 \sqrt{3} + \sqrt{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ - > \frac{1}{2 \sqrt{3} + \sqrt{2} } \times \frac{2 \sqrt{3} - \sqrt{2} }{2 \sqrt{3} - \sqrt{2} } \\ \\ - > \frac{2 \sqrt{3} - \sqrt{2} }{(2 \sqrt{3} + \sqrt{2} )(2 \sqrt{3} - \sqrt{2} )} \\ \\ - > \frac{2 \sqrt{3} - \sqrt{2} }{(2 \sqrt{3} )^{2} - { \sqrt{2} }^{2} } = \frac{2 \sqrt{3} - \sqrt{2} }{4 \times 3 - 2} \\ \\ - > \frac{2 \sqrt{3} - \sqrt{2} }{12 - 2} = \frac{2 \sqrt{3} - \sqrt{2} }{10}$

hope it helps...:)

Answer 2

$\frac{1}{2 \sqrt{3} + \sqrt{2} }$

$\frac{1}{2 \sqrt{3} + \sqrt{2} } \times \frac{2 \sqrt{3} - \sqrt{2} }{2 \sqrt{3} - \sqrt{2} }$

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

$\frac{2 \sqrt{3} - \sqrt{2} }{12 - 2}$

$\frac{2 \sqrt{3} - \sqrt{2} }{10}$