SOLUTION: Write cuberoot(16) in its simplest surd form. The answer is 2 times cuberoot(2), but how? I'm asking for an explanation. Thanks so much.

Algebra ->  Expressions -> SOLUTION: Write cuberoot(16) in its simplest surd form. The answer is 2 times cuberoot(2), but how? I'm asking for an explanation. Thanks so much.      Log On


   

Question 1077647: Write cuberoot(16) in its simplest surd form.
The answer is 2 times cuberoot(2), but how? I'm asking for an explanation. Thanks so much.
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Making use of:
+root%28n%2Cx%2Ay%29+=+root%28n%2Cx%29%2Aroot%28n%2Cy%29+
we get

Answer by MathTherapy(10705) About Me  (Show Source):
You can put this solution on YOUR website!
Write cuberoot(16) in its simplest surd form.

The answer is 2 times cuberoot(2), but how? I'm asking for an explanation. Thanks so much.

root%283%2C+16%29 = root%283%2C+2%5E4%29 = root%283%2C+%282%5E3+%2A+2%29%29 = highlight%282root%283%2C+2%29%29