Rationalize the denominator

Mathematics

2 answers:

fenix001 [56]4 years ago

7 0

The fraction is a cubic root, so to rationalize the denominator, you would multiply them by 3.

The answer is b. 3

bearhunter [10]4 years ago

7 0

Answer:

Step-by-step explanation:

There are many ways of seeing this problem. One of them is

cube root(5) / cube root (9) which translates to

cube root(5)/ cube root(3*3)

To rationalize the denominator you need another 3 in the denominator.

Rule: To rationalize anything, you need the power in denominator to be divisible by the power on the denominator. Whatever it takes to get it up to get it to a number that is divisible by the root is what you multiply the denominator by.

So in this case, you need 3 threes in the denominator. You have 2. You need 1 more. If you add 1 more root in the denominator, you must do the same in the numerator.

cube root(5)*cube root (3) / (cube root (3 * 3) * cube root (3) )

cube root (15) / cube root (3 * 3 * 3)

cube root (15) / 3

Answer B is the closest.

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Step-by-step explanation:

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Vlad1618 [11]

Answer:

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Step-by-step explanation:

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