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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.
Is the square root of negative 25 a rational number?
The square root of -25 is not a real number, as it involves taking the square root of a negative number which results in an imaginary number. In this case, the square root of -25 is 5i, where i represents the imaginary unit. Since rational numbers are a subset of real numbers, the square root of -25, being an imaginary number, is not a rational number.
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 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.
