The negative square root of -40 can be written as √(-40) or √(40) * √(-1). Since the square root of a negative number is not a real number, it needs to be expressed in terms of "i", the imaginary unit.
The square root of 40, √(40), can be simplified as 2√10. Therefore, the negative square root of -40 can be expressed as 2√10 * √(-1).
The standard form of a complex number is a + bi, where "a" represents the real part and "b" represents the imaginary part.
In this case, the real part is 0 (2√10 multiplied by 0 is 0), and the imaginary part is 2√10. So the re-expression of the negative square root of -40 as a complex number in the standard form is:
0 + 2√10i
Which of the following re-expresses the negative square root √-40 as a complex number in the standard form a + bi?
1 answer