Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{125a^2b^2}[/tex]
This is the same as:
[tex]=\sqrt{(5ab)^2\cdot5}[/tex]
Expand:
[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]
The left term cancels:
[tex]=5|ab|\sqrt5[/tex]
Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)
