For each question, select the proper option from four options given, to make the statement true : (Final answer only)
The decimal expansion of $-\frac{11}{4}$ is..........
non$-$terminating recurring
terminating
non$-$terminating non$-$recurring
uncertain
Express $0 . \overline{27}$ in the $\frac{p}{q}$ form.
Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$
$\frac{4}{3 \sqrt{3}-2 \sqrt{2}}+\frac{3}{3 \sqrt{3}+2 \sqrt{2}}$
Insert a rational number and an irrational number between the following:
$2$ and $3$
Simplify:
${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$
If $x=3+2 \sqrt{2},$ then find the value of $x^{2}+\frac{1}{x^{2}}$ and $x^{3}+\frac{1}{x^{3}}$