What is (-2+sqrt(-11))^2 ?

The solution to (-2+sqrt(-11))^2 is -7-4sqrt(11)i

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simplify (-2+sqrt(-11))^2

simplify

(- 2 + - 11)^{2}

- 7 - 411 i

Solution steps

(- 2 + - 11)^{2}

Apply Perfect Square Formula:

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

(- 2 + - 11)^{2} = (- 2)^{2} + 2 (- 2) - 11 + (- 11)^{2}

= (- 2)^{2} + 2 (- 2) - 11 + (- 11)^{2}

(- 2)^{2} + 2 (- 2) - 11 + (- 11)^{2} = - 411 i - 7

= - 411 i - 7

Rewrite in standard complex form:

- 7 - 411 i

= - 7 - 411 i

x^{2} - 2 x - \frac{3}{4} = 0

5 (\frac{1}{2})^{2}

(8)^{2} + (6)^{2}

2^{2} + 2^{2}

\frac{7 π}{2} \cdot \frac{180}{π}