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

Lipossig 2021-08-11 Answered
Find the value of the following expression:
\(\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}\)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

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

Expert Answer

Asma Vang
Answered 2021-08-12 Author has 14591 answers
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:
\(\displaystyle{3}\times{8}\sqrt{{{x}+{6}}}={24}\sqrt{{{x}+{6}}}\)
The final answer:
\(\displaystyle{3}\sqrt{{{64}{\left({x}+{6}\right)}}}={24}\sqrt{{{x}+{6}}}\)
Have a similar question?
Ask An Expert
18
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more
...