What is simplify-sqrt(-24)(sqrt(6)-sqrt(-3)) ?

The solution to simplify-sqrt(-24)(sqrt(6)-sqrt(-3)) is -6sqrt(2)-12i

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simplify-sqrt(-24)(sqrt(6)-sqrt(-3))

simplify

- - 24 (6 - - 3)

- 62 - 12 i

Solution steps

- - 24 (6 - - 3)

- 24 = 2 - 6

= - 2 - 6 (6 - - 3)

- 6 = 6 i

= - 26 i (6 - - 3)

- 3 = 3 i

= - 26 i (6 - 3 i)

Apply the distributive law:

a (b - c) = ab - a c

- 26 i (6 - 3 i) = - 26 i 6 - (- 26 i) 3 i

= - 26 i 6 - (- 26 i) 3 i

Simplify

- 26 i 6 - (- 26 i) 3 i : - 12 i - 62

= - 12 i - 62

Rewrite in standard complex form:

- 62 - 12 i

= - 62 - 12 i

x + 5 \leq 8

- \frac{2}{3} x = 8

x^{2} + 20 x + 72 + 3 x

6 p^{2} - 11 p - 10

\frac{93}{21 n} \cdot \frac{34 n}{51 n}

What is simplify-sqrt(-24)(sqrt(6)-sqrt(-3)) ?
The solution to simplify-sqrt(-24)(sqrt(6)-sqrt(-3)) is -6sqrt(2)-12i