Question

Complete the simplification.

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

Short answer

The simplified form is,

${\left(\sqrt{3}\right)}^2=\sqrt{3}.\sqrt{3}=3$

Step-by-step solution

Step 1. Given information.

The given expression is,

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

 Step 2. It can be further written as below.

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

Then,

$\begin{array}{c}{\left(\sqrt{3}\right)}^2=\sqrt{3}.\sqrt{3}\\ =\sqrt{3.3}\\ =\sqrt{{\left(3\right)}^2}\\ =3\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

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