Question

rationilize the denominator 1 by 1 minus root 5​

Answer 1

$\bf\large\underline\blue{Question:-}$

• Rationalise the denominator $\frac{1}{1 - \sqrt{5} }$

$\bf\large\underline\blue{Solution:-}$

$\frac{1}{1 - \sqrt{5} }$

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

$= \frac{1 + \sqrt{5} }{1 - 5}$

$= \frac{1 + \sqrt{5} }{ - 4}$

$= \frac{ - 1 - \sqrt{5} }{4}$

$\bf\underline\blue{Note:-}$

Rationalization means to remove all the surds from the denominator of a number.

$\bf\large\underline\blue{Answer:-}$

• $\frac{ - 1 - \sqrt{5} }{4}$