What is (-3+sqrt(-12))^2 ?

The solution to (-3+sqrt(-12))^2 is -3-12sqrt(3)i

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simplify (-3+sqrt(-12))^2

simplify

(- 3 + - 12)^{2}

- 3 - 123 i

Solution steps

(- 3 + - 12)^{2}

Apply Perfect Square Formula:

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

(- 3 + - 12)^{2} = (- 3)^{2} + 2 (- 3) - 12 + (- 12)^{2}

= (- 3)^{2} + 2 (- 3) - 12 + (- 12)^{2}

(- 3)^{2} + 2 (- 3) - 12 + (- 12)^{2} = - 123 i - 3

= - 123 i - 3

Rewrite in standard complex form:

- 3 - 123 i

= - 3 - 123 i

25 + (5 tan (5 x))^{2}

\frac{5}{7} - \frac{1}{3}

\frac{2}{9} + \frac{5}{12}

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