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

The solution to (2-sqrt(-6))^2 is -2-4sqrt(6)i

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

simplify

(2 - - 6)^{2}

- 2 - 46 i

Solution steps

(2 - - 6)^{2}

Apply Perfect Square Formula:

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

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

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

2^{2} - 2 \cdot 2 - 6 + (- 6)^{2} = - 46 i - 2

= - 46 i - 2

Rewrite in standard complex form:

- 2 - 46 i

= - 2 - 46 i

\frac{2}{3} (x + 3) = 24

(\frac{4 a ^{3 n}}{2 a ^{2 m}})^{- 2}

800 r^{3} + 2400 r^{2} + 2400 r + 800

∣ x ∣ = 4

9 x^{2} - 400