Question

Rationalise the denominator.
a)2/5
b)(2+root11) / (2-root11)​

Answer 1

$\Huge{\textbf{\textsf{\color{navy}{An}{\purple{sW}{\pink{eR{\color{pink}{:-}}}}}}}}$

$\frac{2 + \sqrt{11} }{2 - \sqrt{11} } \\ \\ = \frac{2 + \sqrt{11} }{2 - \sqrt{11} } \times \frac{2 + \sqrt{11} }{2 + \sqrt{11} } \\ \\ = \frac{(2 + \sqrt{11}) {}^{2} }{2 {}^{2} - 11} \\ \\ = \frac{4 + 11 + 4 \sqrt{11} }{ - 7} \\ \\ = \frac{15 + 4 \sqrt{11} }{ - 7}$

hope it's helpful⭐✨⭐✨

$\huge\sf\underline\red{answered\:by\:KIMU}$