Question

rationalise the denominator √7 -√6 /√7 +√6​

Answer 1

$\fontsize{18}{10}{\textup}{\textbf{The rationalized expression is 13-2\sqrt{42} }}}$

Step-by-step explanation:

Given expression:

 (rt7-rt6)/(rt7+rt6)

Multiplying the numerator and the denominator with the numerator

=(rt7-rt6)(rt7-rt6)/(rt7+rt6)(rt7-rt6)

=(7+6-2rt42)/(7-6)

=13-2rt42,  where rt=square root

Answer 2

$\sqrt{7 } - \sqrt{6 } \div \sqrt{7} + \sqrt{6} \times \sqrt{7} - \sqrt{6} \div \sqrt{7} - \sqrt{6}$

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

$13 - 2 \sqrt{42}$