What is (8+sqrt(-6))^2 ?

The solution to (8+sqrt(-6))^2 is 58+16sqrt(6)i

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simplify (8+sqrt(-6))^2

simplify

(8 + - 6)^{2}

58 + 166 i

Solution steps

(8 + - 6)^{2}

Apply Perfect Square Formula:

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

(8 + - 6)^{2} = 8^{2} + 2 \cdot 8 - 6 + (- 6)^{2}

= 8^{2} + 2 \cdot 8 - 6 + (- 6)^{2}

8^{2} + 2 \cdot 8 - 6 + (- 6)^{2} = 166 i + 58

= 166 i + 58

Rewrite in standard complex form:

58 + 166 i

= 58 + 166 i

3 u^{4} v^{5} \cdot 7 u^{2} v^{3}

\frac{x ^{2} ( x - 5 )}{5 x ^{2}}

- 16 t^{2} + 16 t + 136

(2 x + 3 y) (4 x^{2} - 6 x y + 9 y^{2})

a^{5} \cdot a^{2}