What is 2sqrt(-192) ?

The solution to 2sqrt(-192) is 16sqrt(3)i

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simplify 2sqrt(-192)

simplify

2 - 192

163 i

Solution steps

2 - 192

Prime factorization of

192 : 2^{6} \cdot 3

= 2 - 2^{6} \cdot 3

Apply radical rule:

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

- 2^{6} \cdot 3 = 2^{6} - 3

= 2 2^{6} - 3

2^{6} = 8

= 2 \cdot 8 - 3

Multiply the numbers:

2 \cdot 8 = 16

= 16 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 163 - 1

Apply imaginary number rule:

- 1 = i

= 163 i

+ 4 z^{2} - 20 z + 25

1000 e^{0.05 \cdot 7}

\frac{5 x ^{7} y ^{7}}{25 x ^{7} y ^{2}}

- 2 x \times (- 2) x

- 4 x^{2} - 16 x + 9