What is sqrt(-8)(sqrt(-3)-sqrt(5)) ?

The solution to sqrt(-8)(sqrt(-3)-sqrt(5)) is -2sqrt(6)-2sqrt(10)i

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simplify sqrt(-8)(sqrt(-3)-sqrt(5))

simplify

- 8 (- 3 - 5)

- 26 - 210 i

Solution steps

- 8 (- 3 - 5)

- 8 = 2 - 2

= 2 - 2 (- 3 - 5)

- 2 = 2 i

= 22 i (- 3 - 5)

- 3 = 3 i

= 22 i (3 i - 5)

Apply the distributive law:

a (b - c) = ab - a c

22 i (3 i - 5) = 22 i 3 i - 22 i 5

= 22 i 3 i - 22 i 5

Simplify

22 i 3 i - 22 i 5 : - 26 - 210 i

= - 26 - 210 i

10 + \frac{1}{2}

(2 a - 5) (2 a + 5)

\frac{8}{- 5}

(m + 8) (m - 8) (m + 1) (m - 1)

What is sqrt(-8)(sqrt(-3)-sqrt(5)) ?
The solution to sqrt(-8)(sqrt(-3)-sqrt(5)) is -2sqrt(6)-2sqrt(10)i