Question

Rationalize the denominator of
$1 \div \sqrt{7 - \sqrt{6} }$
​

Answer 1

Answer:

Here, we know that given expression is 1 (√7-√6) Now, use rationalize the denominator method,

1 (√7 – √6) 1(√7 - √6) [(√7 – √6)(√7 – √√6)] - (√7+√6) = [(√7)² – (√6)²] (√7+√6) [7 - 6] = (√7+ √6) 1 =(√7+ √6)

Answer 2

Here is the required answer :

$1 \div \sqrt{7} - \sqrt{6} = 1 \div \sqrt{7} - \sqrt{6} \times \sqrt{7} + \sqrt{6} \div \sqrt{7} + \sqrt{6}$

$= \sqrt{7} + \sqrt{6} \div ( \sqrt{7} \times \sqrt{7} ) - ( \sqrt{6} \times \sqrt{6} )$

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

$= \sqrt{7} + \sqrt{6}$

Hope It Helps ✌✌