what is the square root of negative 150?
if i= sqrt (-1)
then sqrt (-150)= sqrt150 * i
The square root of a negative number is not a real number, as there are no real numbers that, when squared, equal a negative number. In mathematics, the square root of a negative number is denoted by the imaginary unit "i". The imaginary unit "i" is defined as the square root of -1.
To find the square root of a negative number, you can express it in terms of the imaginary unit:
√(-150) = √(150) * √(-1)
Now, we can simplify the square root of 150:
√150 = √(25 * 6) = √25 * √6 = 5√6
Therefore:
√(-150) = 5√6 * i
So, the square root of negative 150 is 5√6i.