Question 453901: I need help, I can't figure this one out.
Multiply and simplify. Assume that all expressions under the radical represent non negative numbers.
√(xy^2) ∛(x^3y)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Multiply and simplify. Assume that all expressions under the radical represent non negative numbers.
√(xy^2) ∛(x^3y)
..
√(xy^2) ∛(x^3y)
Before we multiply this out, both radicals must have the same index. One has an index of 2 and the other with an index of 3. The lowest common multiple of 2 and 3 is 6, so we can change the index of both radicals to 6. For the first term, we can multiply the index of 2 by 3 to get 6. If we multiply the index by 3, we must also multiply the power of the radican by 3. We will do the same for the second term except the multiplier is 2 instead of 3 as in the first term.
..
√(xy^2) ∛(x^3y)
6th root(x^3y^6)*6th root(x^6y^2)
now we can multiply the radicans
6th root(x^9y^8)
xy6th root(x^3y^2) (ans)
|
|
|
