What is sqrt(-18)(sqrt(-5)-sqrt(3)) ?

The solution to sqrt(-18)(sqrt(-5)-sqrt(3)) is -3sqrt(10)-3sqrt(6)i

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simplify sqrt(-18)(sqrt(-5)-sqrt(3))

simplify

- 18 (- 5 - 3)

- 310 - 36 i

Solution steps

- 18 (- 5 - 3)

- 18 = 2 \cdot 3 i

= 2 \cdot 3 i (- 5 - 3)

- 5 = 5 i

= 2 \cdot 3 i (5 i - 3)

= 32 i (5 i - 3)

Apply the distributive law:

a (b - c) = ab - a c

32 i (5 i - 3) = 32 i 5 i - 32 i 3

= 32 i 5 i - 32 i 3

Simplify

32 i 5 i - 32 i 3 : - 310 - 36 i

= - 310 - 36 i

(7 x + 2) 3 + 8 x

c^{2} - 5 c - 24

(3 x - 5) (x - 1)

10 0^{- 2}

- cos (x) - cos (x)

What is sqrt(-18)(sqrt(-5)-sqrt(3)) ?
The solution to sqrt(-18)(sqrt(-5)-sqrt(3)) is -3sqrt(10)-3sqrt(6)i