What is 5sqrt(-192) ?

The solution to 5sqrt(-192) is 40sqrt(3)i

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simplify 5sqrt(-192)

simplify

5 - 192

403 i

Solution steps

5 - 192

Prime factorization of

192 : 2^{6} \cdot 3

= 5 - 2^{6} \cdot 3

Apply radical rule:

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

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

= 5 2^{6} - 3

2^{6} = 8

= 5 \cdot 8 - 3

Multiply the numbers:

5 \cdot 8 = 40

= 40 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 403 - 1

Apply imaginary number rule:

- 1 = i

= 403 i

(- 1)^{- 7}

x + 1 + x + 1

8 a^{3} + c^{3}

9 + x - 7

x y - 15 + 5 y - 3 x