The solution to 3sqrt(-48) is 12sqrt(3)i

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simplify 3sqrt(-48)

Solution

simplify

3 - 48

123 i

Solution steps

3 - 48

Prime factorization of

48 : 2^{4} \cdot 3

= 3 - 2^{4} \cdot 3

Apply radical rule:

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

- 2^{4} \cdot 3 = 2^{4} - 3

= 3 2^{4} - 3

2^{4} = 4

= 3 \cdot 4 - 3

Multiply the numbers:

3 \cdot 4 = 12

= 12 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 123 - 1

Apply imaginary number rule:

- 1 = i

= 123 i

x i - x

- \frac{3 x - \frac{3}{15}}{11} + 1

\frac{4}{24}

3 \times + 12

8 x + 4 y + 5 + 2 y - 2 x