What is the principal square root of - 2500?

Real solutions: none

Complex principal solution: 50i

Step-by-step explanation:

sqrt (-2500)

If we are working with only real numbers, then there is no solution since it is a negative number and negative numbers have to square root in the real domain

If we are in the complex realm

sqrt (-2500) = sqrt (-1) sqrt (2500)

= i (50)

We only took the positive values since we are taking the principal square root

= 50i

Answer:The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root. The square root of n2 is the absolute value of n. When solving a simple equation such as x2 = 25, it must be observed that there are two solutions.

Step-by-step explanation:

The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root. The square root of n2 is the absolute value of n. When solving a simple equation such as x2 = 25, it must be observed that there are two solutions.