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

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

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

simplify

- 18 (- 3 - 5)

- 36 - 310 i

Solution steps

- 18 (- 3 - 5)

- 18 = 2 \cdot 3 i

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

- 3 = 3 i

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

= 32 i (3 i - 5)

Apply the distributive law:

a (b - c) = ab - a c

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

= 32 i 3 i - 32 i 5

Simplify

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

= - 36 - 310 i

\frac{9 x}{3 x y}

(8 x - 3 y) - (9 x + 8 y)

a^{4} + a b^{3}

1 - \frac{a + x}{a - x}

x - 2 (3 y + (6 x - 4 (3 y - 4 x) - 3 y) - 2 x) - y

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