Question

The expression square root of - 64 can be written as a complex number of the form a+bi. Fill in the blanks with the correct values. Square root of -64=

Answer 1

The square root of -64 is written as a complex number by finding the square root of 64 and multiplying by the imaginary unit 'i', resulting in the complex number 0 + 8i.

Step-by-step explanation:

The expression square root of -64 can be written as a complex number of the form a + bi. The square root of a negative number involves the imaginary unit i, where i is defined as the square root of -1. Therefore, taking the square root of -64 can be thought of as taking the square root of 64 and then multiplying by i. Since the square root of 64 is 8, we get:

Square root of -64 = 8i.

So, in the form a + bi, a is 0 and b is 8:

Square root of -64 = 0 + 8i.