Chapter 11.9, Problem 1MRE

To determine

Simplify the given equation.

Answer to Problem 1MRE

  $\boxed{3x^4\sqrt{2}}$

Explanation of Solution

Given information:

  $\sqrt{18x^8}$

  $\sqrt{18x^8}$

To simplify the above equation, we have to remove square factors in the radicand:

  $\begin{array}{l}\sqrt{18x^8}\\ \\ =\sqrt{9\times 2\times {\left(x^4\right)}^2}\\ \\ =\sqrt{{\left(3\right)}^2\times 2\times {\left(x^4\right)}^2}\\ \\ =\boxed{3x^4\sqrt{2}}\end{array}$