What is (-3sqrt(3))(sqrt(-30)) ?

The solution to (-3sqrt(3))(sqrt(-30)) is -9sqrt(10)i

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simplify (-3sqrt(3))(sqrt(-30))

simplify

(- 33) (- 30)

- 910 i

Solution steps

(- 33) (- 30)

(- 33) (- 30) = - (33) - 30

= - 33 - 30

- 30 = 3 - 10

= - 333 - 10

Apply radical rule:

a a = a, a \geq 0

33 = 3

= - 3 \cdot 3 - 10

Multiply the numbers:

- 3 \cdot 3 = - 9

= - 9 - 10

Apply radical rule:

- a = a - 1

- 10 = 10 - 1

= - 910 - 1

Apply imaginary number rule:

- 1 = i

= - 910 i

(a + b)^{2} - 4 c^{2}

(- 2 e^{- x})^{2}

i^{145}

- (x + 5)^{3}

x - 2 \cdot x - 2

What is (-3sqrt(3))(sqrt(-30)) ?
The solution to (-3sqrt(3))(sqrt(-30)) is -9sqrt(10)i