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Q: Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

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-- If the number is more than ' 1 ', then yes. -- If the number is ' 1 ' or less, including negative numbers, then no.

Because if you multiply a negative number three times, the product will be negative.

there is no cube roots in negative

729, cube of 9 and square of 27

No because 144 is a square number

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The cube root of a negative number is negative

The cube root of a negative number is negative.

think about it this way... a negative times a negative is a positive... squaring is the same as multiplying it by itself. 4^2 is 16, 4X4 is 16. -7X-7 is positive 49. So a square can't be negative, therefore a negative cannot be square rooted.

Square=2 Cube=3

It depend how many negative numbers are written on the cube.

square and cube caculator

-- If the number is more than ' 1 ', then yes. -- If the number is ' 1 ' or less, including negative numbers, then no.

When two negative or two positive numbers are multiplied together, they always result in a positive number; and when a positive and a negative number are multiplied together, they will always result in a negative number. Thus, you cannot square root a negative number because there are no real numbers that, when squared, would result in a negative number. For example: (-2)(-2) = 4 (2)(2) = 4 √4 = +/- 2 √(-4) = ? No real number, when squared, is a negative! Does not exist! The cube of a number is different, because you are multiplying three numbers together instead of just two. As a result, you can get a negative or a positive number. For example: (-2)(-2)(-2) = -8r (2)(2)(2) = 8 3√8 = 2 3√(-8) = -2

The cube of a negative number is negative. Negative times negative is positive, but then you have the third multiplication, and positive times negative is negative. So for example (-2)3 = -8.

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.

There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64

There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.

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