Question

How do you simplify $\sqrt{10}$?

Answer 1

Simplify the given number:

The given irrational number is $\sqrt{10}$.

$\therefore \sqrt{10}=\sqrt{5\times 2}$

$=\sqrt{5}\times \sqrt{2}$

We know that $\sqrt{2}=1.414$ and $\sqrt{5}=2.236$

$\therefore \sqrt{10}=1.414\times 2.236$

$=3.162$

Hence, the simplified value of $\sqrt{10}$ is $3.162$.