Question

Rationalise the Denominator
1/6-√5​

Answer 1

$\huge\green{ \overline{ \underline{\textbf{Solution:-}}}}$

• To rationalise : Multiply the numerator and denominator with the denominator but change the sign between them.
• Look below..

$\frac{1}{6 - \sqrt{5} } \\ \\ \\ \frac{1}{6 - \sqrt{5} } \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} }\: \: \: \: \: \: [using\: a² - b² = (a+b)(a-b)] \\ \\ \frac{6 + \sqrt{5} }{ {6}^{2} - { (\sqrt{5}) }^{2} } \\ \\ \frac{6 + \sqrt{5} }{36 - 5} \\ \\ \frac{6 + \sqrt{5} }{31}$

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