SOLUTION: Simplify {{{(root(5,9)-root(5,81))/(root(5,3))}}}

Question 148158: Simplify
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor 81 into 9*9

Break up the root.

Factor out the GCF

Factor 9 into 3*3

Break up the root.

Highlight the common terms.

Cancel out the common terms.

Simplify

Distribute

Combine the roots and multiply

So simplifies to

In other words,
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The 5th root of 3 is a common denominator.
Divide each term by the common denominator to get:
3^(!/5) - 27^(1/5)
======================
Cheers,
Stan H.
RELATED QUESTIONS
simplify 5+2square root 6-3 square root... (answered by ankor@dixie-net.com)
3 square root of 5 + 9 square root of... (answered by longjonsilver)
square root 2 - 5 square root 3 + 7 square root 2 + 9 square root... (answered by Mathtut)
(3+square root of 5)squared=(3+square root 5)(3+square root 5) (answered by tns_tutor5000)
simplify: 8/ 3- square root of... (answered by solver91311)
Simplify square root of... (answered by math_helper)
root(3*5^(-3)) (answered by jsmallt9)
(4 square root of 3 plus 9 square root of 5).(square root 3 plus 6 square root of... (answered by checkley77)
Simplify: 3 sq root 32 - 5 sq root 50 - 8 sq root 45 + 7 sq root 20 (answered by checkley77)
Simplify- square root of 5 over cube root of... (answered by Alan3354)