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

The solution to (sqrt((-2)))^2 is -2

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

simplify

((- 2))^{2}

- 2

Solution steps

(- 2)^{2}

Apply rule:

(- a) = - a

(- 2) = - 2

= (- 2)^{2}

- 2 = 2 i

= (2 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 i)^{2} = (2)^{2} i^{2}

= (2)^{2} i^{2}

(2)^{2} = 2

= 2 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 2 (- 1)

Multiply the numbers:

2 (- 1) = - 2

= - 2

1 - \frac{v}{c} 1 + \frac{v}{c}

(x^{4} + 4) \cdot (\frac{x ^{4} + 4}{x ^{4} + 4})

(48) (68)

x \times x + y