Question

√3/√7+√4
rationalize this denominator

Answer 1

√3. √7-√4
---------- × -------------
√7+√4. √7-√4


√3(√7-√4)
-----------------
(√7-√4)2


√21-√12
--------------
7-4


√21-2√3
---------------
3

Answer 2

$given \: \: \: \: \: \frac{ \sqrt{3} }{ \sqrt{7} + \sqrt{4} } \: \: \: \: \: \: \: \: \: \: \: =$
$= > \: \: \frac{ \sqrt{3} }{ \sqrt{7 } + \sqrt{4} } \times \frac{ \sqrt{7} - \sqrt{4} }{ \sqrt{7} - \sqrt{4} }$
$= > \: \: \frac{ \sqrt{21} - 2 \sqrt{3} }{3}$