Chapter 8.1, Problem 6WE

To determine

The given expression.

Answer to Problem 6WE

The simplified form is $\sqrt{54}=3\sqrt{6}$ .

Explanation of Solution

Given information:

The given expression is $\sqrt{54}$ .

The given expression is $\sqrt{54}$ .

It can be further written as

  $\begin{array}{c}\sqrt{54}=\sqrt{2\times 3^3}\\ =3\sqrt{2\times 3}\\ =3\sqrt{6}\end{array}$

Since square root is positive quantity so neglecting negative sign.

Therefore, the simplified form is $\sqrt{54}=3\sqrt{6}$ .