Question

Rationalise the denominators of following: 1/ √7-√6​

Answer 1

Answer:

√7+√6

Step-by-step explanation:

multiply and divide by the conjugate of denominator ie √7+√6

therefore √7-√6/ 7-6 = √7-√6

hope this helps

Answer 2

$\huge\red{ꫝꫀꪶꪶꪮ}$

$\frac{1}{ \sqrt{7} - \sqrt{6} } \\ = \frac{1( \sqrt{7} + \sqrt{6} )}{( \sqrt{7} - \sqrt{6} ( \sqrt{7} + \sqrt{6} }$

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

$\frac{ \sqrt{7 } + \sqrt{6} }{7 - 6} = \frac{ \sqrt{7} + \sqrt{6} }{1} = ( \sqrt{7} + \sqrt{6} )$