0
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Devin
ProfessorAdd your answer:
Earn +20 pts
Square root of -1 is iota How?
Mathematicians decided that, since the square root of a negative number does not exist, they would use the first letter of "imaginary" to represent this "value".
What is square root of negative 2?
The square root of a negative number is considered an imaginary number. In this case, the square root of -2 is represented as √(-2) = √2i, where i is the imaginary unit equal to the square root of -1. This is because the square root of -1 is not a real number, so we introduce the concept of imaginary numbers to handle such cases in mathematics.
Why is the square root of -1 equal to iota?
It is just a notation, used to make our calculations easier. Square root of -1 is undefined.
What is the square root of negative 25?
The square root of any negative number is equal to the square root of its absolute value followed by i - an imaginary number representing the square root of minus one. Therefore, such that sqrt(25) = 5, sqrt(-25) = 5i.
What is the square root of negative forty nine?
The square root of negative forty-nine (-49) has no value over real numbers. However, over complex numbers, the square root of -49 is ±7i, where "i" is the imaginary unit, which i2 = -1.
