What is (-3-sqrt(-7))^2 ?

The solution to (-3-sqrt(-7))^2 is 2+6sqrt(7)i

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simplify (-3-sqrt(-7))^2

simplify

(- 3 - - 7)^{2}

2 + 67 i

Solution steps

(- 3 - - 7)^{2}

Apply Perfect Square Formula:

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

(- 3 - - 7)^{2} = (- 3)^{2} - 2 (- 3) - 7 + (- 7)^{2}

= (- 3)^{2} - 2 (- 3) - 7 + (- 7)^{2}

(- 3)^{2} - 2 (- 3) - 7 + (- 7)^{2} = 67 i + 2

= 67 i + 2

Rewrite in standard complex form:

2 + 67 i

= 2 + 67 i

39 - \frac{6}{25}

(2 x + 1)^{3}

\frac{x}{5} > 10

(x^{2} - 5 x + 4) (x^{2} - 9)

3 n^{2} - 17 n + 10