Question

Write the number in the form a + bi.
√(-4)+10

Answer 1

10 + 2i

Explanation:

√−4 + 10

Simplify each term.

Rewrite

√−1(4) + 10

√−1 ⋅ √4 + 10

Rewrite √−1 as i

i ⋅ √4 + 10

i ⋅ √2^2 + 10

Pull terms out from under the radical, assuming positive real numbers.

i ⋅ 2 + 10

2i + 10

or

10+2i