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What is the square root of negative 25?

Updated: 4/28/2022
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13y ago

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The square root of any negative number is equal to the square root of its absolute value followed by i - an imaginary number representing the square root of minus one. Therefore, such that sqrt(25) = 5, sqrt(-25) = 5i.

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13y ago
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12y ago

-√25 = -5

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Q: What is the square root of negative 25?
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Is the square root of -25 irrational or complex?

you cant get the square root of a negative number. nothing times itself would equal a negative number. if you have √-25 then its not possible. If you have -√25 then you take the square root of 25 and make it negative, so then it would be -5


What is the square root of 0625?

The square root of 625 is 25 because 25 x 25 = 625. 625 also has a negative root = -25.


What is equal to the square root of negative 25?

There is no answer - 5 * -5 is 25 as a negative times a negative is a positive and - - 5 * 5 is - 25 but you cannot do this inversely if you put square root - 25 it says undefined


Why does the square root of -25 have no real solution?

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.


What are the square root number for 25?

The square root of 25 has two solutions: SQRT(25) = + 5 and -5The square root of a number, by definition, should be positive. Hence, the square root of 25 is 5. The other square root is -5. However, strictly speaking, -5 is not the square root of 25, since it is not a positive number.* * * * *The exclusion of the negative square root is plain nonsense.


Why is the Square root of 25 is not equal to negative 5?

It is. (-5) is a perfectly good square root of 25.Every number has two square roots. The two square roots of 25 are [ +5 ] and [ -5 ].


What is the principal root of -25?

The principal root of a number is the positive real square root of the number - if it exists. Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.


What is the definition of principal square root?

A number will have both a positive and negative square root 5 x 5 = 25 and -5 x -5 = 25.


Why cant you evaluate square root -25?

You cannot in real numbers because the square of any number, negative or positive, is positive. However, -25 does have a square root in complex numbers: it is + or - 5i where i is the imaginary square root of -1.


How do you get the square root of negative 144?

square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i


What is the real number root of -25?

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.


What is negative 3 times the square root of 25?

-3*sqrt(25)=-3*5=-15