Question

Simplify.

$9\sqrt{4}0$

Short answer

The simplified form is $9\sqrt{40}=18\sqrt{10}$.

Step-by-step solution

Step 1. Given information.

The given expression is $9\sqrt{40}$.

Step 2. It can be further written as below.

The given expression is$9\sqrt{40}$

Then,

$\begin{array}{c}9\sqrt{40}=9\sqrt{2\times 2^2\times 5}\\ =9\times 2\sqrt{2\times 5}\\ =18\sqrt{10}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $9\sqrt{40}=18\sqrt{10}$.