What is the cube root of 64?

Understand the Problem

The question is asking to find the cube root of the number 64, which involves determining what number, when multiplied by itself three times, equals 64.

Answer

4
Answer for screen readers

The final answer is 4

Steps to Solve

  1. Express the problem mathematically

To find the cube root of 64, we need to determine what number $ x $ satisfies the equation:

$$ x^3 = 64 $$

  1. Solve for the cube root

To find the value of $ x $, take the cube root of both sides of the equation:

$$ x = \sqrt[3]{64} $$

  1. Calculate the cube root

Recognize that $ 64 = 4 imes 4 imes 4 $, therefore

$$ x = 4 $$

The final answer is 4

More Information

The cube root of 64 is 4 because 4 multiplied by itself three times (4 * 4 * 4) equals 64.

Tips

A common mistake is confusing the cube root with the square root. Remember, the cube root of a number is a value that, when cubed, gives the original number.

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