Question

simplify : 1 / √7 - √6

Answer 1

Heya !!!


1/✓7 - ✓6


=> 1/( ✓7 - ✓6 ) × ( ✓7 + ✓6 ) / ( ✓7 + ✓6 )


=> ( ✓7 + ✓6 ) / ( ✓7 - ✓6 ) ( ✓7 + ✓6 )



=> ( ✓7 + ✓6 ) / ( ✓7 )² - ( ✓6 )²



=>( ✓7+ ✓6 ) / 7 - 6



=> ( ✓7 + ✓6 ) [Answer ]


★ HOPE IT WILL HELP YOU ★

Answer 2

Heya!!

Your answer :-

$que = \frac{1}{ \sqrt{7} - \sqrt{6} } \\ \\ = \frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ \\ = \frac{ \sqrt{7} + \sqrt{6} }{( { \sqrt{7}) }^{2} - { (\sqrt{6} )}^{2} } \\ \\ = \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ \\ = \frac{ \sqrt{7} + \sqrt{6} }{1} \\ \\ = \sqrt{7} + \sqrt{6}$

Hope it helps!!

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