6 sqrt 72x^2 show work

Question

mathstudent55 · Answer

Is the question      $\large 6\sqrt{72x^2}$   ?

mathstudent55 · Answer

Are you told anything about x, such as assume all variables are non-zero?

mathstudent55 · Answer

@MeganChase 
Hint: 72 = 36 * 2
In other words, you can take out more than just sqrt(9) from the radical.

anonymous · Answer

i forgot to go higher. i suck at math. i need to listen more in class. bye. time to hit the books.

mathstudent55 · Answer

Then there is the question iof what to do with $\sqrt{x^2} $.
If no restrictions on x are given, then $\sqrt{x^2} = |x|$.

mathstudent55 · Answer

^of

anonymous · Answer

im trying to simplify the radical

mathstudent55 · Answer

$\large 6\sqrt{72x^2}$

$\large = 6\times \sqrt{36 \times 2 \times x^2}$

$\large = 6\times \sqrt{36} \times \sqrt{2} \times \sqrt{x^2}$

$\large = 6\times \color{red}{\sqrt{36}}  \times \color{green}{\sqrt{x^2}} \times \color{blue}{\sqrt{2}}$

$\large = 6 \times \color{red}{6}  \times \color{green}{|{x|}} \times \color{blue}{\sqrt{2}}$

$\large =36\sqrt{2}|x| $

mathstudent55 · Answer

GTG. If you have any questions, post them.
I'll try to answer when I get back online.

anonymous · Answer

okay and thank u