Question

Rationalise the denominator 1/5-root5
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Answer 1

Step-by-step explanation:

$\frac{1}{5 - \sqrt{5 } } \\ \\ \\ \frac{1}{5 - \sqrt{5} } \times \frac{5 + \sqrt{5} }{5 + \sqrt{5} } \\ \\ \\ \frac{5 + \sqrt{5} }{25 - 5} \\ \\ \frac{5 + \sqrt{5} }{20} \\ \\ = \frac{5}{20} + \frac{ \sqrt{5} }{20}$

Answer 2

$\frac{1}{5-\sqrt{5} } = \frac{1}{5-\sqrt{5} } * \frac{5+\sqrt{5} }{5+\sqrt{5} } \\\\\frac{5+\sqrt{5} }{5^2 - (\sqrt{5} )^2} \\\\\frac{5+\sqrt{5} }{25-5} \\\\\frac{5+\sqrt{5}}{20} \\\\hope\ it \ helps \ !!$