SOLUTION: when dividing radicals do you keep the same index like 3 radical 135 divided by 3 radical 5 the number 3 is the index of both radical 135 and radical 5

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Question 563891: when dividing radicals do you keep the same index like 3 radical 135 divided by 3 radical 5 the number 3 is the index of both radical 135 and radical 5
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
root(3,135) / root(3,5) is equal to root(3,135/5)
this says that:
the cube root of 135 divided by the cube root of 5 is equal to the cube root of (135 divided by 5).
in radical form, this looks like:
root%283%2C135%29+%2F+root%283%2C5%29+=+root%283%2C135%2F5%29
you can confirm that this is correct by using your calculator to calculate each side of the equation.
root%283%2C135%29+%2F+root%283%2C5%29 = 3
root%283%2C135%2F5%29 = 3
they're the same.