Question

I am simplifying radicals and I've come across one that has me a bit confused.

Answer 1

The sqrt of (34 m^4) is  sqrt(34) times sqrt(m^4).

The sqrt of m^4 is easy ... that's just  m^2 .

The other part is more messy.  There's not much you can do with it.

                      sqrt(34) = sqrt(17) times sqrt(2). 

That doesn't help make it any simpler.
You might as well just leave it as sqrt(34). 

Then the final, simplified form of the original expression is

                          m^2 sqrt(34)