What is the cube root of 216?

Study for the FAA-H-8083-30B AMT General Handbook – Mathematics in Aviation Maintenance Exam. Engage with flashcards and multiple choice questions, with hints and explanations. Get ready for your exam!

To find the cube root of a number, you are looking for a value that, when multiplied by itself twice more (three times total), results in the original number. In this case, the task is to find the value that, when cubed, equals 216.

Starting with the number 216, we need to calculate the cube root. The cube root of a number can also be thought of as determining which number raised to the third power (or multiplied by itself three times) will yield that number.

In this case:

6 × 6 × 6 = 36 (this is 6 squared),

and then that result,

36 × 6 = 216.

This confirms that 6 multiplied by itself three times equals 216. Therefore, the cube root of 216 is indeed 6. This understanding aligns with the definition of cube roots and demonstrates the foundational principle of exponents and roots in mathematics.

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