Question

Simplify
1/1+√2 + 1/√3+√2 + 1/√3+√4​

Answer 1

$\huge\mathfrak{ \underline{\red{answer: - }}}$

$\frac{ \frac{1}{ 1 + \sqrt{2 } + 1} }{ \frac{ \sqrt{2} + \sqrt{3} + 1 }{ \sqrt{3} + \sqrt{4} } }$

$= \frac{1( \sqrt{3} + \sqrt{4} ) }{1 + \sqrt{2} + 1( \sqrt{2} + \sqrt{3} + 1 }$

$= \frac{ \sqrt{3} + \sqrt{4} }{ \sqrt{2} + 2 + \sqrt{2} + \sqrt{3} + \sqrt{3} + \sqrt{3} + 1 + \sqrt{2} + 1 }$

$= \frac{ \sqrt{3} + 2}{ 3 \sqrt{2} + 3 \sqrt{3} + 4}$

$= \frac{ \sqrt{3} + 2 }{3( \sqrt{2} + \sqrt{3} ) + 4}$

$\small\mathfrak{ \underline{\green{mark \: as \: brainliest \: also \: follow \: me..}}}$