Question

Rationalise the denominator root 7 + root 2 by root 7 - root 2

Answer 1

Answer:

this is the answer.

Step-by-step explanation:

I hope it will help you.

Answer 2

Answer:

Question:

• ${ \sf{Rationalize \: : \frac{ \sqrt{7 } + \sqrt{2} }{ \sqrt{7} - \sqrt{2} } }}$

Solution:

$: { \implies{ \sf{ \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} - \sqrt{2} } }}} \\ \\ : { \implies{ \sf{ \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7 } + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } }}} \\ \\ : { \implies{ \sf{ \frac{ {( \sqrt{7} + \sqrt{2} ) }^{2} }{ { \sqrt{(7)} }^{2} - { \sqrt{(2)} }^{2} } }}} \\ \\ : { \implies{ \sf{ \frac{ ({ \sqrt{7}) }^{2} + {( \sqrt{2} )}^{2} + 2( \sqrt{7} )( \sqrt{2} ) }{7 - 2} }}} \\ \\ : { \implies{ \sf{ \frac{7 + 2 + 2 \sqrt{14} }{5} }}} \\ \\ : { \implies{ \sf{ \frac{9 + 2 \sqrt{14} }{5} }}}$

${ \therefore{ \sf{ \frac{ \sqrt{7 } + \sqrt{2} }{ \sqrt{7} - \sqrt{2} } = \frac{9 + 2 \sqrt{14} }{5} }}}$