Question

Help with simplifying expression. Assuming all variables are real numbers

Answer 1

\[\sqrt[3]{27(x+4)^{3}}\]

Answer 2

\[\Large \sqrt[3]{27(x+4)^3} \to \sqrt[3]{27} \times \sqrt[3]{(x+4)^3} \]

Answer 3

Can you solve now?

Answer 4

Yes

Answer 5

Can you show me how to solve for it?

Answer 6

We just have to simplify it.

Answer 7

3*3*3 = 27
SIMILARLY cuberoot(27) =3

Answer 8

And cuberoot[(x+4)^3] = x+4
3 and 3 cancel out.

So now you're only left with 3 and (x+4)
Hence:
3(x+4) is your answer.
Simplify it to get:
3x+12

Answer 9

I'm confused, why do the 3's cancel out?

Answer 10

\[\Large \sqrt[3]{a^3} \to a^\frac33 \to a^1 \to a\]

Answer 11

ahhhh ok!

Answer 12

Thank you for laying it all out for me to understand

Answer 13

You're welcome.