Question

class 9 Ch1 number system​

Answer 1

$\textsf{\underline{\underline{SOLUTION:-}}}$

$\sqrt{ \frac{1}{3 - \sqrt{5} } } + \frac{1}{ \sqrt{ \frac{1}{3 - \sqrt{5} } } }$

$\sqrt{ \frac{3 + \sqrt{5} }{4} } + \frac{1}{ \frac{1}{ \sqrt{3 - \sqrt{5} } } }$

$\frac{ \sqrt{3 + \sqrt{5} } }{2} + \sqrt{3 - \sqrt{5} }$

Alternatively, it can be written as

$- 2.01815$

$\textbf{STEPS:-}$

1) Rationalise the denominator

2)To take a root of a fraction , take the root of the numerator and denominator seperately

3)Simplify the complex fraction