Question

The number obtained on rationalizing the denominator of 1/√7 – 2 is √7+2 /3 √7-2 / 3 √7+2 / 5 √7+2 / 45

Answer 1

Hope this helps you ;)

$\frac{1}{ \sqrt{7} - 2 }$

$= \frac{1}{ \sqrt{7} - 2 } \times \frac{ (\sqrt{7} + 2) }{ (\sqrt{7} + 2)}$

$= \frac{ \sqrt{7} + 2}{ { \sqrt{7} }^{2} - {2}^{2} }$

$= \frac{ \sqrt{7} + 2 }{7 - 4}$

$= \frac{ \sqrt{7} + 2 }{3}$