What is (-5+sqrt(-9))^2 ?

The solution to (-5+sqrt(-9))^2 is 16-30i

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simplify (-5+sqrt(-9))^2

simplify

(- 5 + - 9)^{2}

16 - 30 i

Solution steps

(- 5 + - 9)^{2}

Apply Perfect Square Formula:

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

(- 5 + - 9)^{2} = (- 5)^{2} + 2 (- 5) - 9 + (- 9)^{2}

= (- 5)^{2} + 2 (- 5) - 9 + (- 9)^{2}

(- 5)^{2} + 2 (- 5) - 9 + (- 9)^{2} = - 30 i + 16

= - 30 i + 16

Rewrite in standard complex form:

16 - 30 i

= 16 - 30 i

3 x 7 x + 7 x^{3}

24 3^{- \frac{6}{5}}

1.6 6^{2}

(\frac{11}{3})^{2}

(- 9.5) (2.6)