Question

What is the value of square root $6$​?

Answer 1

The square root of $6$:

A square root should be made as little as possible while still remaining a whole number to simplify it.

Simplify the equation for the square root of 6:

$\begin{array}{rcl}\sqrt{6}& =& \sqrt{2}\times \sqrt{3}\\ & \Rightarrow & \sqrt{6}=1.414\times 1.732\left[\because \sqrt{2}=1.414,\sqrt{3}=1.732\right]\\ & \Rightarrow & \sqrt{6}=2.449\end{array}$

It can be simplified even further by swapping the values of root 2 and 3 (rounded to three decimal integers).

Hence, the required value of square root of $6$is $2.449$.