Question

rationalise the following 1/1-√7 please give full solution

Answer 1

Identity used :

$(a + b)(a - b) = {a}^{2} - {b}^{2}$



$\frac{1}{1 - \sqrt{7} }$

On rationalizing the denominator we get,

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

Answer 2

please Mark me as brainliest.............