Question

Complete the simplification.

${\left(3\sqrt{11}\right)}^2=?·?=9·?=?$

Short answer

The simplified form is,

${\left(3\sqrt{11}\right)}^2=9\times 11=99$

Step-by-step solution

Step 1. Given information.

The given expression is,

${\left(3\sqrt{11}\right)}^2=\underset{¯}{?.\underset{¯}{?}}$

Step 2. It can be further written as below.

We have the given expression is ${\left(3\sqrt{11}\right)}^2$

Then,

$\begin{array}{c}{\left(3\sqrt{11}\right)}^2=\left(3\sqrt{11}\right).\left(3\sqrt{11}\right)\\ =\left(9\right)\sqrt{\left({11}^2\right)}\\ =9\times 11\\ =99\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${\left(3\sqrt{11}\right)}^2=99$.