After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as

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..........

Classify the following numbers as rational or irrational with justification:

$(i)$ $0.5918$

$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})$

Simplify:

$64^{-\frac{1}{3}} + 64^{\frac{1}{3}} - 64^{\frac{2}{3}}$

Is $0.3 \overline{7}$ a rational number or an irrational number?

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.

$\frac{\sqrt{2}}{2+\sqrt{2}}$