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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.

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Q: Why does the square root of -25 have no real solution?
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Related questions

Why does the square root of 25 not have a real solution?

You can't take the square root of a negative number. The square root of -25 is 5i. It's an imaginary number.


Can the square root of 25 be a real number?

the square root of 25 is 5


Is the root of 25 a real number?

Yes. The square root of 25 is 5, which is a real number.


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.


Is the square root of 8 over 25 rational irrational or a real number?

The square root of 8 over 25 is irrational, and real.


What are the real square root of 625?

+25.


Is the square root of 25 a real number?

no. is not a real number


Is radical 25 a real number?

If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.


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.


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.


Is the square root of 25 a rational number?

Oh, dude, the square root of 25 is 5, which is a whole number and can be expressed as a fraction 5/1. So, yes, it is a rational number because it can be written as a ratio of two integers. But hey, who really cares about all that math stuff anyway, right?


What is square of square root of 25?

The square root of 25 is 5.