Question

rationalise3/(√3+√5-√2)​

Answer 1

Given that:-

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

Solution:-

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

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

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

$\frac{3( \sqrt{3} - \sqrt{5} + \sqrt{2} ) }{3 - 3 + 2 \times \sqrt{10} }$