Question

Q. Simplify : $\sqrt{\frac{0.85\times (0.105+0.024-0.008)}{0.022\times 0.25\times 1.7}}$

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \sqrt{\frac{0.85\times \left(0.105+0.024-0.008\right)}{0.022\times 0.25\times 1.7}} \\ =\sqrt{\frac{0.5\times \left(0.121\right)}{0.022\times 0.25\times 1}} \\ =\sqrt{\frac{5\times 121}{22\times 2.5\times 1}}=\sqrt{\frac{50\times 121}{22\times 25\times 1}}=\sqrt{\frac{1\times 121}{11}}=\sqrt{11} \end{gathered}$$