What is (-sqrt(-8))(sqrt(-18)) ?

The solution to (-sqrt(-8))(sqrt(-18)) is 12

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simplify (-sqrt(-8))(sqrt(-18))

simplify

(- - 8) (- 18)

12

Solution steps

(- - 8) (- 18)

(- - 8) (- 18) = - - 8 - 18

= - - 8 - 18

- 8 = 2 - 2

= - 2 - 2 - 18

- 2 = 2 i

= - 22 i - 18

- 18 = 2 \cdot 3 i

= - 22 i 2 \cdot 3 i

Multiply the numbers:

- 2 \cdot 3 = - 6

= - 62 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= - 6 \cdot 2 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 6 \cdot 2 i^{2}

Multiply the numbers:

- 6 \cdot 2 = - 12

= - 12 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 12 (- 1)

Multiply the numbers:

- 12 (- 1) = 12

= 12

\frac{21}{27}

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