√-25 is not real because there is no real number, which when multiplied times itself, results in -25
5 x 5 = 25; -5 x -5 = 25 (these are the only two reasonable possibilities)
√-25 = √(-1 * 25) = √-1 * √25 = √-1 * 5
The symbol 'i' is used to represent √-1, so the answer is usually written as 5i., where i is an imaginary number, not a real number.
√-25 is not real because there is no real number, which when multiplied times itself, results in -25
5 x 5 = 25; -5 x -5 = 25 (these are the only two reasonable possibilities)
√-25 = √(-1 * 25) = √-1 * √25 = √-1 * 5
The symbol 'i' is used to represent √-1, so the answer is usually written as 5i., where i is an imaginary number, not a real number.