What is sqrt(-12)(sqrt(-4)-sqrt(2)) ?

The solution to sqrt(-12)(sqrt(-4)-sqrt(2)) is -4sqrt(3)-2sqrt(6)i

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simplify sqrt(-12)(sqrt(-4)-sqrt(2))

simplify

- 12 (- 4 - 2)

- 43 - 26 i

Solution steps

- 12 (- 4 - 2)

- 12 = 2 - 3

= 2 - 3 (- 4 - 2)

- 3 = 3 i

= 23 i (- 4 - 2)

- 4 = 2 i

= 23 i (2 i - 2)

Apply the distributive law:

a (b - c) = ab - a c

23 i (2 i - 2) = 23 i 2 i - 23 i 2

= 23 i 2 i - 23 i 2

Simplify

23 i 2 i - 23 i 2 : - 43 - 26 i

= - 43 - 26 i

\frac{\frac{x + 8}{x ^{2} - 64}}{\frac{x - 4}{x ^{2} + x - 72}}

7 ab + 4 ab - 3 ab

(7 i) (- 3 i)

2 lo g_{2} (12)

What is sqrt(-12)(sqrt(-4)-sqrt(2)) ?
The solution to sqrt(-12)(sqrt(-4)-sqrt(2)) is -4sqrt(3)-2sqrt(6)i