Question

Simplify.

$\sqrt{800}$

Short answer

The simplified form is $\sqrt{800}=20\sqrt{2}$.

Step-by-step solution

Step 1. Given information.

The given expression is $\sqrt{800}$.

Step 2. It can be further written as below.

The given expression is$\sqrt{800}$

Then,

$\begin{array}{c}\sqrt{800}=\sqrt{2^5\times 5^2}\\ =2^2\times 5\sqrt{2}\\ =4\times 5\sqrt{2}\\ =20\sqrt{2}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, neglecting negative sign.

Therefore, the simplified form is $\sqrt{800}=20\sqrt{2}$.