What is (-8sqrt(-30))(3sqrt(10)) ?

The solution to (-8sqrt(-30))(3sqrt(10)) is -240sqrt(3)i

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simplify (-8sqrt(-30))(3sqrt(10))

simplify

(- 8 - 30) (310)

- 2403 i

Solution steps

(- 8 - 30) (310)

Apply rule:

(- a) = - a

(- 8 - 30) = - 8 - 30

= - 8 - 30 \cdot 310

- 30 = 10 - 3

= - 810 - 3 \cdot 310

Apply radical rule:

a a = a, a \geq 0

1010 = 10

= - 8 \cdot 10 - 3 \cdot 3

Multiply the numbers:

- 8 \cdot 10 \cdot 3 = - 240

= - 240 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= - 2403 - 1

Apply imaginary number rule:

- 1 = i

= - 2403 i

\frac{7 x + 3}{x - 6} + \frac{3}{x + 5}

11 - 5

\frac{x - 1}{x - 1}

13 - 9

(a - 4) (a + 4)

What is (-8sqrt(-30))(3sqrt(10)) ?
The solution to (-8sqrt(-30))(3sqrt(10)) is -240sqrt(3)i