900=2x2x5x5x3x3
There are not any groups of three so the cube root is not a whole number. Now you have to take numbers and guess it.
10 cubed is 1000
9 cubed is 729
9.5 cubed is 902.5
So, keep trying to get close to the amount.
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2^6 = 64 The cube root is 2^2, or 4
If a factor appears 3 times, you get this factor (only once) times the cube root of a smaller number (the original number divided by the factor cubed).
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
The prime factorization of 64 is 2x2x2x2x2x2 or 26. The prime factorization of 8 is 2x2x2 or 23.
The cube root of this number is 1 more than the smallest prime?