# Find the value of the following expression: 3sqrt(64(x+6))

Find the value of the following expression:
$$\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}$$

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Asma Vang
Given:
$$\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}$$
Recall that
$$\displaystyle\sqrt{{{a}^{{2}}{b}}}={a}\sqrt{{b}}$$
In our case, $$\displaystyle{a}={64},{\quad\text{and}\quad}{64}={8}^{{2}}$$, so
$$\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}={3}\times{8}\sqrt{{{x}+{6}}}$$
Multiply:
$$\displaystyle{3}\times{8}\sqrt{{{x}+{6}}}={24}\sqrt{{{x}+{6}}}$$
$$\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}={24}\sqrt{{{x}+{6}}}$$