The value of $\sqrt{2 \sqrt[3]{4 \sqrt{2 \sqrt[3]{4 \sqrt{2 \sqrt[3]{4 \ldots}}}}}}$ is

Choose the incorrect relation$(s)$ from the following:
$(i)$ $\sqrt{6}+\sqrt{2}=\sqrt{5}+\sqrt{3}$
$(ii)$ $\sqrt{6}+\sqrt{2}<\sqrt{5}+\sqrt{3}$
$(iii)$ $\sqrt{6}+\sqrt{2}>\sqrt{5}+\sqrt{3}$

If $10^{2y} = 25$,then what is the value of $10^{y}$?

What approximate value will come in the place of the question mark $(?)$ in the following equation? (You are not expected to calculate the exact value.)
$7441 \div 34 \times 12 = ? \times 9 + 110$

If we multiply a fraction by itself and divide the product by the square of its reciprocal,the fraction obtained is $3 \frac{13}{81}$. The original fraction is

What should come in place of the question mark $(?)$ in the following equation?
$\sqrt{575} \div ? \times 14.98^{2} = 450$