Q:

What is a cube root formula?

A:

Quick Answer

To find the cube root of a number, find all of the number’s prime factors. A cube root is a number that, when cubed, gives the original number. If there are exactly three prime factors that are all the same, the number is a perfect cube.

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Full Answer

The cube root of 8 is 2, because 2 * 2 * 2 = 8. Eight is referred to as a "perfect cube" because its cube root is a whole number. For example, to find the cube root of 125, find its prime factors. Since 125 = 5 * 5 * 5, the cube root of 125 is 5.

If the number does not have exactly three equal prime factors, the cube root can only be expressed as an irrational number. So, the cube root of 15 is simply cube root 15.

If the number has three equal prime factors plus other prime factors, it is also an irrational number. For example, to find the cube root of 375, find its prime factors. 325 = 5 * 5 * 5 * 3. So the cube root of 375 is 5 cube root 3.

Remember that the cube of a number is the number multiplied by itself three times. So the cube root is the number that, when multiplied by itself three times, gives the initial number. Since 2 * 2 * 2 is 8, 2 cubed is 8, and the cube root of 8 is 2.

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Related Questions

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    What is the cube root of 54?

    A:

    The cube root of 54 is equal to 3.78. The cube root of a number, x, is equal to the number, y, such that y times y times y equals x. For the number 54, 3.78 times 3.78 times 3.78 is equal to 54.

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    What is the cube root of 64?

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    The cube root of 64 is 4. The cube root of a chosen number can be verified by multiplying a smaller number by itself three times in order to get the chosen number.

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    How do you find the square root of a number?

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    To find a number's square root, determine which two perfect squares the number lies between and estimate a fraction between those two perfect square roots. If it is a perfect square itself the square root can be arrived at precisely. If not, divide the number by one of the two closest square roots and average the result with the root. Round this number to two decimal places.

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    What is a cube root function?

    A:

    The cube root function is used to the find a number that when multiplied twice by itself gives the number inside the function. When the expression inside the cube root is a function, such as x - 5, the function is graphed for all possible values of x and y.

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