Question

question - Rationalise the denominator.Please answer fast if your answer right i mark you brain list.​

Answer 1

Answer:

${ \large{ \underline{ \sf{Solution-}}}}$

$: { \longmapsto{ \rm{ \frac{6}{ \sqrt{7} - \sqrt{3} } }}}$

$: { \longmapsto{ \rm{ \frac{6}{ \sqrt{7} - \sqrt{3} } \times \frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} + \sqrt{3} } }}}$

$: { \longmapsto{ \rm{ \frac{6( \sqrt{7} + \sqrt{3}) }{ {( \sqrt{7}) }^{2} - {( \sqrt{3}) }^{2} } }}}$

$: { \longmapsto{ \rm{ \frac{6( \sqrt{7} + \sqrt{3}) }{7 - 3} }}}$

$: { \longmapsto{ \rm{ \frac{6( \sqrt{7} + \sqrt{3} )}{4} }}}$

$: { \longmapsto{ \rm{ \frac{3( \sqrt{7} + \sqrt{3} )}{2} }}}$

$: { \longmapsto{ \rm{ \frac{3 \sqrt{7} + 3 \sqrt{3} }{2} }}}$

${ \boxed{ \therefore{ \sf{The \: Answer \: is \: \frac{3 \sqrt{7} + 3 \sqrt{3} }{2}}}}}$