What is (sqrt(-3))(3sqrt(12)) ?

The solution to (sqrt(-3))(3sqrt(12)) is 18i

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simplify (sqrt(-3))(3sqrt(12))

simplify

(- 3) (312)

18 i

Solution steps

(- 3) (312)

Apply rule:

(a) = a

(- 3) = - 3

= - 3 \cdot 312

12 = 23

= - 3 \cdot 3 \cdot 23

Multiply the numbers:

3 \cdot 2 = 6

= - 3 \cdot 63

= 63 - 3

- 3 = 3 i

= 633 i

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 6 \cdot 3 i

Multiply the numbers:

6 \cdot 3 = 18

= 18 i

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- 25 \div 5