Question

Write the complex number in standard form
√-180

Answer 1

Explanation:

The square root of a negative real number can be represented as the imaginary unit, "i", multiplied by the square root of the absolute value of the negative number. In this case, the square root of -180 is:

√(-180) = i * √(180)

The standard form of a complex number is "a + bi", where "a" and "b" are real numbers and "i" is the imaginary unit. In this case, a = 0 and b = √(180), so the complex number can be written as:

0 + i * √(180) = i * √(180)

Therefore, the complex number √-180 in standard form is: i * √(180).