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Shalnov
3 months ago
11

Someone explain why each nonzero integer has two square roots but only one cube root

Mathematics
1 answer:
Zina [12.3K]3 months ago
6 0

The square root of a number is the value that multiplied by itself yields that number. For example, 4 multiplied by 4 gives 16, so 4 is a square root of 16. However, since (-4) times (-4) also equals 16, -4 is another square root of 16. Accordingly, every nonzero integer has two square roots.

On the other hand, a cube root of a number is a value which, when multiplied three times by itself, produces the number. For instance, 3 × 3 × 3 equals 27, so 3 is the cube root of 27. Unlike the square root, the cube root of a number has just one unique value, because -3 × -3 × -3 equals -27, not 27.

Hope this clarifies the distinction.


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