What is simplify-(sqrt(-8))^2 ?

The solution to simplify-(sqrt(-8))^2 is 8

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simplify-(sqrt(-8))^2

simplify

- (- 8)^{2}

8

Solution steps

- (- 8)^{2}

- 8 = 22 i

= - (22 i)^{2}

Apply exponent rule:

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

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

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

2^{2} = 4

= - 4 (2)^{2} i^{2}

(2)^{2} = 2

= - 4 \cdot 2 i^{2}

Multiply the numbers:

4 \cdot 2 = 8

= - 8 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 8 (- 1)

Multiply the numbers:

- 8 (- 1) = 8

= 8

3^{- 2}

70 0^{2} \cdot 2.636 \cdot 1 0^{- 4}