Question

1/1+√2+√3 rationalize the denominator

Answer 1

for rationalising denominator
if
1+√2 =a,√3=b
then we should multiply( a-b) on numerator and denominator so that we can get (a+b)(a-b)=a^2-b^2

$1(1 + \sqrt{2} - \sqrt{3} ) \div( 1 + \sqrt{2})^{2} - ( \sqrt{3} )^{2} \\ 1(1 + \sqrt{2} - \sqrt{3} ) \div 1 + 2 + 2 \sqrt{2} - 3 \\ 1(1 + \sqrt{2} - \sqrt{3} ) \div 2 \sqrt{2} \\ \sqrt{2} (1 + \sqrt{2} - \sqrt{3} ) \div 4$
hope this helps .plz mark