Simplify each radical. Assume all variables represent positive re...

Question

Simplify each radical. Assume all variables represent positive real numbers. - ∜243

Accepted Answer

Hey everyone here we are asked to completely simplify the following radical expression where we have the negative fourth root of 3125. So to simplify this expression, all we have to do is take the value underneath the root and rewrite it as a power of four. So here we have 3125 underneath the room. Well we know that this value is equivalent to five to the power of five. Well this is the same as saying five times five to the power of four. So we can go ahead and use this expanded expression to rewrite our original expression. So again we have the negative fourth root of now five times five to the fourth power. So now we just need to take the fourth root of both terms here. And we see that our simplified answer becomes negative five times the fourth root of five. And this is our fully simplified answer. Which leaves us with answer choice B. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

Simplify each radical. Assume all variables represent positive real numbers. - ∜243