What is (-8sqrt(6))(2sqrt(-42)) ?

The solution to (-8sqrt(6))(2sqrt(-42)) is -96sqrt(7)i

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simplify (-8sqrt(6))(2sqrt(-42))

simplify

(- 86) (2 - 42)

- 967 i

Solution steps

(- 86) (2 - 42)

Apply rule:

(- a) = - a

(- 86) = - 86

= - 86 \cdot 2 - 42

- 42 = 6 - 7

= - 86 \cdot 26 - 7

Apply radical rule:

a a = a, a \geq 0

66 = 6

= - 8 \cdot 6 \cdot 2 - 7

Multiply the numbers:

- 8 \cdot 6 \cdot 2 = - 96

= - 96 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= - 967 - 1

Apply imaginary number rule:

- 1 = i

= - 967 i

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What is (-8sqrt(6))(2sqrt(-42)) ?
The solution to (-8sqrt(6))(2sqrt(-42)) is -96sqrt(7)i