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

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simplify 6sqrt(-12)

Solution

simplify

6 - 12

123 i

Solution steps

6 - 12

Prime factorization of

12 : 2^{2} \cdot 3

= 6 - 2^{2} \cdot 3

Apply radical rule:

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

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

= 6 2^{2} - 3

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 2 - 3

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 123 - 1

Apply imaginary number rule:

- 1 = i

= 123 i

16 \times 8

- 1 + \frac{3}{4}

(x + 8) (x + 4)

(x + 8) (x + 9)

(- 8 - 14 i) (- 8 + 14 i)