Question

Simplify.

$4\sqrt{28}$

Short answer

The simplified form is $4\sqrt{28}=8\sqrt{7}$.

Step-by-step solution

Step 1. Given information.

The given expression is $4\sqrt{28}$

Step 2. It can be further written as below.

The given expression is $4\sqrt{28}$

Then,

$\begin{array}{c}4\sqrt{28}=4\sqrt{2^2\times 7}\\ =4\times 2\sqrt{7}\\ =8\sqrt{7}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $4\sqrt{28}=8\sqrt{7}$.