The solution to 2sqrt(-96) is 8sqrt(6)i

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simplify 2sqrt(-96)

Solution

simplify

2 - 96

86 i

Solution steps

2 - 96

Prime factorization of

96 : 2^{5} \cdot 3

= 2 - 2^{5} \cdot 3

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

- 2^{5} \cdot 3 = - 2^{4} \cdot 2 \cdot 3

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

Apply radical rule:

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

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

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

2^{4} = 4

= 2 \cdot 4 - 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 2 \cdot 4 - 6

Multiply the numbers:

2 \cdot 4 = 8

= 8 - 6

Apply radical rule:

- a = a - 1

- 6 = 6 - 1

= 86 - 1

Apply imaginary number rule:

- 1 = i

= 86 i

1 + 27 x^{3}

\frac{1}{3 \cdot 5} + 2

y^{2} - 4 x^{2}

527

\frac{1 - 2}{3 - 6}