Either you use a scientific calculator, or you try which number, when cubed, gives 64. This one is easy, since it is a perfect cube. Try, for example, 2 cubed (2 x 2 x 2); this is 8, which is too little, so you try a larger number.
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cube root of 64 = 4 4 x 4 = 16, and 16 x 4 = 64 4 cube = 64
This can be broken into cube root( 64 * 1000) = cube root(64) * cube root(1000) which is 4 * 10 = 40
The answer is 64. The cube-root of 512 is 8, 8 squared is 64.
The cube root of 64 is 4
4