Question

Rationalize the denominators of the 1/(√7-√6)
if anyone will tell me i will mark him/her as brainlest​

Answer 1

:⟼  $\frac{1}{ \sqrt{7} - \sqrt{6} }$

:⟼  $\frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} }$

:⟼  $\frac{1( \sqrt{7} + \sqrt{6}) }{ { (\sqrt{7} })^{2} - ( { \sqrt{6} })^{2} }$

:⟼  $\frac{ \sqrt{7} + \sqrt{6} }{7 - 6}$

:⟼  $\frac{ \sqrt{7} + \sqrt{6} }{1}$

:⟼  $\sqrt{7} + \sqrt{6}$

$\large\bold{\underline{\underline{Note:-}}}$

$(a + b)(a - b) = {a}^{2} - {b}^{2}$