Solved on Mar 01, 2024

Find the cube root of 6464.

STEP 1

Assumptions
1. We are looking for the cube root of a given number, which is 64.
2. The cube root of a number x x is a number a a such that a3=x a^3 = x .

STEP 2

To find the cube root of 64, we need to find a number which, when multiplied by itself three times, equals 64.
a3=64a^3 = 64

STEP 3

We can solve this by recalling the cubes of integers or by using a calculator. For small numbers, it's often faster to recall common cubes.

STEP 4

Since 23=82^3 = 8, 33=273^3 = 27, and 43=644^3 = 64, we can see that the cube root of 64 is 4.
a=4a = 4
The cube root of 64 is 4.

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