No. The symbol √ signifies the principal square root of a number. Therefore, √x is always positive. The two roots of x, however, are ±√x. If you therefore have y²=x and you want to find y, you mustn’t write y=√x, but rather y=±√x to be formally correct.
Sqrt(-1) is still wrong tho. I’m commuting a sin by writting it. Correct expression is i^2=-1
Wouldn’t the square root just give plus/minus i? Seems correct enough.
No. The symbol √ signifies the principal square root of a number. Therefore, √x is always positive. The two roots of x, however, are ±√x. If you therefore have y²=x and you want to find y, you mustn’t write y=√x, but rather y=±√x to be formally correct.
Simply define it as i = e^(iπ/2) 🤣
Nah, sqrt(x) is the principal branch (the one with a positive real part) of x^½, and you can do (-1)^½ because it’s just exponentiation.