SOLUTION: I need assistance simplifying the following expressions: {{{ sqrt((18*u^2)/(b^3)) }}} --- {{{ 3sqrt((2x^3)/(27)) }}} --- To specify, the last problem's radical has an index

Algebra ->  Expressions-with-variables -> SOLUTION: I need assistance simplifying the following expressions: {{{ sqrt((18*u^2)/(b^3)) }}} --- {{{ 3sqrt((2x^3)/(27)) }}} --- To specify, the last problem's radical has an index       Log On


   

Question 209339: I need assistance simplifying the following expressions:
+sqrt%28%2818%2Au%5E2%29%2F%28b%5E3%29%29+
---
+3sqrt%28%282x%5E3%29%2F%2827%29%29+
---
To specify, the last problem's radical has an index of 3, not 3 times the square root of the expression.
Thank you in advance!
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28%2818%2Au%5E2%29%2F%28b%5E3%29%29+ ---> sqrt%28%283%5E2%2A2%2Au%5E2%29%2F%28b%5E2%2Ab%29%29 ---> highlight_green%28%283u%2Fb%29%2Asqrt%282%2Fb%29%29

---
+3sqrt%28%282x%5E3%29%2F%2827%29%29+ ---> 3sqrt%28%282x%5E3%29%2F%283%5E3%29%29 ---> highlight_green%28%28x%2F3%293sqrt%282%29%29, or, highlight_green%28x%2F3%29 * cube root of 2.