Question

Rationalism the denominators of the following:
1upon /root7 -root 6​

Answer 1

[tex]\mathfrak{\huge{Answer:-}} \\ \bold{\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} - \sqrt{6})( \sqrt{7} + \sqrt{6})} \\ = \frac{ \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} \\ \boxed{\boxed{\large{\bold{ \frac{1}{ \sqrt{7} - \sqrt{6}} = \sqrt{7} + \sqrt{6} }}}}[/tex]