en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2+sqrt(-4))^2

Solution

simplify

(- 2 + - 4)^{2}

Solution

- 8 i

Solution steps

(- 2 + - 4)^{2}

- 4 = 2 i

= (- 2 + 2 i)^{2}

= (- 2 + 2 i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = - 2, b = i 2

= (- 2)^{2} + 2 (- 2) i 2 + (i 2)^{2}

Simplify

(- 2)^{2} + 2 (- 2) i 2 + (i 2)^{2} : - 8 i

= - 8 i

Popular Examples

simplify sqrt(27)+sqrt(48)simplify

27 + 48

4 d + 6 = 42

4(x-1)-6x>= x+20

4 (x - 1) - 6 x \geq x + 20

simplify ((x^{-1})^{-1})^{-1}simplify

((x^{- 1})^{- 1})^{- 1}

- 26 x^{2} + 27 x - 1 = 0

Frequently Asked Questions (FAQ)

What is (-2+sqrt(-4))^2 ?
The solution to (-2+sqrt(-4))^2 is -8i