SOLUTION: 8 / cube root of 16

Question 103966:
8 / cube root of 16
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

The goal of simplifying expressions with third roots is to factor the radicand into a product of two numbers.
One of these two numbers must be a value in which you can take the third root and still get a rational number.
So let's list the factors of 16
Factors:
1, 2, 4, 8, 16

Notice how 8 is the largest value in which you can take the third root and still get a rational number, so lets break 16 down into 8*2

Factor 16 into 8*2

Break up the roots using the identity

Take the third root of 8 to get 2

Multiply

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