Question

Rationalise the denominator 2 by root 5 plus root 3 plus 2

Answer 1

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

now multiply both the numerator and denominator bt the denominator after. changing the sign

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

answer is after simplifying

$\frac{(4 - 2 \sqrt{5} - 2 \sqrt{3}) }{ - (4 + 2 \sqrt{15}) }$

now again rationalise

we get

$\frac{(4 - 2 \sqrt{15} - 2 \sqrt{5} + \sqrt{20} - 2 \sqrt{3} + \sqrt{45}) }{11}$

here's your answer pal