What is (6+sqrt(-5))^2 ?

The solution to (6+sqrt(-5))^2 is 31+12sqrt(5)i

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simplify (6+sqrt(-5))^2

simplify

(6 + - 5)^{2}

31 + 125 i

Solution steps

(6 + - 5)^{2}

Apply Perfect Square Formula:

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

(6 + - 5)^{2} = 6^{2} + 2 \cdot 6 - 5 + (- 5)^{2}

= 6^{2} + 2 \cdot 6 - 5 + (- 5)^{2}

6^{2} + 2 \cdot 6 - 5 + (- 5)^{2} = 125 i + 31

= 125 i + 31

Rewrite in standard complex form:

31 + 125 i

= 31 + 125 i

(c - 9) (c + 9)

- 6 + \frac{25}{4}

\frac{8 ^{5}}{8 ^{11}}

\frac{3}{4} \times \frac{5}{6}

(x^{2} + 3 x - 70) - (x - 7)