SOLUTION: Evaluate the expression, if possible: √

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Question 1142681: Evaluate the expression, if possible: √ - 25
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52824)   (Show Source):
You can put this solution on YOUR website!
.

It is possible. has two values in the complex domain. One value is 5i, while the other value is -5i, where " i " is an imaginary complex unit, = -1.

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On complex numbers, see introductory lessons
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
in this site.

Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
sqrt(-25) = sqrt(25 * -1) = sqrt(25) * sqrt(-1) = 5 * i = 5i.

i is equal to sqrt(-1).

the solution is complex.
a complex number has a real part and an imaginary part.
the general form oa a complex number is a + bi.
this solution how no real part.
it only has an imaginary part.
the general form of this solution would be 0 + 5i.
this simplifies to 5i.

if you are just looking for a real solution, then there is no solution.

here's a reference on complex numbers you might find informative.

https://www.mathsisfun.com/numbers/complex-numbers.html

SOLUTION: Evaluate the expression, if possible: √ - 25