# How do you simplify sqrt(1.6)?

May 28, 2018

$\sqrt{1.6} = 1.26491 \ldots$ or $\frac{4}{\sqrt{10}}$

#### Explanation:

Simplify:

$\sqrt{1.6}$

Using a calculator, $\sqrt{1.6} = 1.26491 \ldots .$, which is an irrational number.

To get the exact square root of $1.6$, do the following:

Convert $1.6$ to fraction form.

$\sqrt{\frac{16}{10}}$

Apply rule: $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$, if $b \ne 0$

$\frac{\sqrt{16}}{\sqrt{10}}$

Simplify $\sqrt{16}$ to $4$.

$\frac{4}{\sqrt{10}}$