Question

Rationalize the denominator 1/6+√4

Answer 1

Answer:

$= > \frac{6 - \sqrt{4} }{32}$

Step-by-step explanation:

$Since, \: the \: denominator = 6 + \sqrt{4} , \\ its \: rationalizing \: factor = 6 - \sqrt{4} \\ Therefore, \: \frac{1}{6 + \sqrt{4} } = \frac{1}{6 + \sqrt{4} } \times \frac{6 - \sqrt{4} }{6 - \sqrt{4} } \\ = \frac{6 - \sqrt{4} }{36 - 4} \\ [Since \: (6 + \sqrt{4} ) (6 - \sqrt{4}) = (6) {}^{2} - ( \sqrt{4} ) {}^{2} \\ = > 36 - 4 = 32 ] \\ = > \frac{6 - \sqrt{4} }{32}$