Question

How do you simplify this expression.

Answer 1

4 + √16-(4)(5) / 2

Simplify the numerator:

4 + √16 -20 = 4 +√-4

Now you have 4 + √-4 / 2

Rewrite the -4 as -1 *4

4 + √ -1*4 / 2

Rewrite √-1*4 as √-1 * √4

√-1 = i

Now you have 4 + i * √4 / 2

√4 = 2

Now you have 4 + i * 2 /2

Divide the numerator by the denominator to get the final answer: 2 + i