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

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simplify 3sqrt(-12)

Solution

simplify

3 - 12

63 i

Solution steps

3 - 12

Prime factorization of

12 : 2^{2} \cdot 3

= 3 - 2^{2} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{2} \cdot 3 = 2^{2} - 3

= 3 2^{2} - 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 3 \cdot 2 - 3

Multiply the numbers:

3 \cdot 2 = 6

= 6 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 63 - 1

Apply imaginary number rule:

- 1 = i

= 63 i

\frac{7}{6} \div 8

lo g_{4} (23.9)

10 + (- 5)

6 x 9 x^{3}