Which of the following is not equal to $\left[\left(\frac{5}{6}\right)^{\frac{1}{5}}\right]^{-\frac{1}{6}} ?$
$\left(\frac{5}{6}\right)^{\frac{1}{5}-\frac{1}{6}}$
$\frac{1}{\left[\left(\frac{5}{6}\right)^{\frac{1}{5}}\right]^{\frac{1}{6}}}$
$\left(\frac{6}{5}\right)^{\frac{1}{30}}$
$\left(\frac{5}{6}\right)^{-\frac{1}{30}}$
If $\sqrt{2}=1.4142,$ then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to
Express $0.5 \overline{7}$ in the form $\frac{P}{q} ;$ where $p$ and $q$ are integers and $q \neq 0$
Represent geometrically numbers on the number line:
$\sqrt{2.3}$
If $x=2+\sqrt{3},$ then find the value of $x^{2}+\frac{1}{x^{2}}$ and $x^{3}+\frac{1}{x^{3}}$
Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.
$\frac{4}{\sqrt{3}}$