Question

Rationalize the denominator of
6/(
Root7 - 2)

Answer 1

Step-by-step explanation:

$\frac{6}{ \sqrt{7} - 2 } = \frac{6( \sqrt{7} + 2) }{ (\sqrt{7} - 2)( \sqrt{7} + 2) }$

$\frac{6 \sqrt{7} + 12 }{ { \sqrt{7} }^{2} - {2}^{2} } = \frac{6 \sqrt{7} + 12 }{7 - 4} = \frac{6 \sqrt{7} + 12 }{3}$

Hence , the denominator has been rationalised.

I hope it helps you. If you have any doubts, then don't hesitate to ask.