Question

If√2 =1.414,find the value of √3/√6 up to three decimal places

Answer 1

$$\begin{gathered} \frac{\sqrt{3}}{\sqrt{6}}=\sqrt{\frac{3}{6}}=\frac{1}{\sqrt{2}} \\ =\frac{1}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}} \\ =\frac{\sqrt{2}}{2} \\ =\frac{1.414}{2}=0.707 \end{gathered}$$