The solution to 2sqrt(-48) is 8sqrt(3)i

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simplify 2sqrt(-48)

Solution

simplify

2 - 48

83 i

Solution steps

2 - 48

Prime factorization of

48 : 2^{4} \cdot 3

= 2 - 2^{4} \cdot 3

Apply radical rule:

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

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

= 2 2^{4} - 3

2^{4} = 4

= 2 \cdot 4 - 3

Multiply the numbers:

2 \cdot 4 = 8

= 8 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 83 - 1

Apply imaginary number rule:

- 1 = i

= 83 i

\frac{7}{x + 6} - \frac{6 x}{x ^{2} - 36}

8 \times 8 \times 8 \times 8 \times 8 \times 8

(\frac{4}{2 ^{2}})^{2 + 2}

\frac{172000}{9}

\frac{6 - - 8}{2}