Question

Rationalize the denominator of 1/4-√7​

Answer 1

Step-by-step explanation:

$= > \frac{1}{4 - \sqrt{7} }$

$rationalising \: factor = 4 + \sqrt{7}$

$= > ( \frac{1}{4 - \sqrt{7} } )( \frac{4 + \sqrt{7} }{4 + \sqrt{7} } )$

$= > \frac{4 + \sqrt{7} }{(4 - \sqrt{7} )(4 + \sqrt{7} )}$

$= > \frac{4 + \sqrt{7} }{ {4}^{2} - { \sqrt{7} }^{2} }$

$= > \frac{4 + \sqrt{7} }{16 - 7}$

$= > \frac{4 + \sqrt{7} }{9}$

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