Question

how do you sinmplify a cubed root in radical form

Answer 1

What is the question?

Answer 2

http://www.intmath.com/exponents-radicals/3-simplest-radical-form.php

Answer 3

\[\sqrt[3]{54}\] in radical form

Answer 4

\[\sqrt[]{2^{3}}\]lets say we have this number, you would first expand the number so you have\[\sqrt[n]{2^{n}*2}\]So in this case it would be\[\sqrt{2^{2}*2}\]Then you could take out the 2^2 and the simpliest form would be \[2*\sqrt{2}\]

Answer 5

Well 54 = 2*3*3*3 and because you have three threes inside the cubic root then you can take one three and then you have the answer. (if that makes since)

Answer 6

\[\sqrt[3]{54} = 54^{1/3} = (2*3*3*3)^{1/3} = (2*3^{3})^{1/3}\]

Answer 7

Can you simplify from there?