Question

Simplify each expression.

${\left(7\sqrt{2}\right)}^2$

Short answer

The simplified form is,

${\left(7\sqrt{2}\right)}^2=98$.

Step-by-step solution

Step 1. Given information.

The given expression is,

${\left(7\sqrt{2}\right)}^2$.

Step 2. It can be further written as below.

We have the given expression is ${\left(7\sqrt{2}\right)}^2$

Then,

$\begin{array}{c}{\left(7\sqrt{2}\right)}^2=\left(7\sqrt{2}\right)\left(7\sqrt{2}\right)\\ =49\sqrt{2\times 2}\\ =49\times 2\\ =98\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${\left(7\sqrt{2}\right)}^2=98$.