The square root of $(7+3 \sqrt{5})(7-3 \sqrt{5})$ is

The square root of $0 . \overline{4}$ is

If $\sqrt{0.04 \times 0.4 \times a} = 0.4 \times 0.04 \times \sqrt{b},$ then the value of $\frac{a}{b}$ is

If $\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a+b \sqrt{3},$ then

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}$ and $b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$,then the value of $\frac{a^{2} + ab + b^{2}}{a^{2} - ab + b^{2}}$ is

Given $\sqrt{2} = 1.414$. The value of $\sqrt{8} + 2\sqrt{32} - 3\sqrt{128} + 4\sqrt{50}$ is