# Thread: Simplify The Following Expression

1. ## Simplify The Following Expression

Hi, I'm have a little difficulty solving out this problem. I would really appreciate it if someone were able to help me out. Thank you in advance.

2. Originally Posted by DesiKid89
Hi, I'm have a little difficulty solving out this problem. I would really appreciate it if someone were able to help me out. Thank you in advance.

note that 972 = 243*4, and 243 is 3^5

so $\displaystyle \sqrt[5]{972} = \sqrt[5]{4 \cdot 3^5} = \sqrt[5]{3^5} \cdot \sqrt[5]{4} = 3 \sqrt[5]{4}$

can you continue?

3. Uh, not really. I'm looking a the problem, and I thought what you'd given was the final answer I needed and the second part with the 5th root of "4" is correct, but the first part wasn't 3. So I'm not quite sure where to go from there.

4. Originally Posted by DesiKid89
Uh, not really. I'm looking a the problem, and I thought what you'd given was the final answer I needed and the second part with the 5th root of "4" is correct, but the first part wasn't 3. So I'm not quite sure where to go from there.
as you see from my working, all i did was simplify $\displaystyle \sqrt[5]{972}$, i left it to you to add this to $\displaystyle 3 \sqrt[5]{4}$.

just treat $\displaystyle \sqrt[5]{4}$ as $\displaystyle x$.

so if you had $\displaystyle 3x + 3x$, what would the answer be?

5. Lol, oh wow, I feel a little slow. I get it now, thanks man. I really appreciate the help.