What is sqrt(-27)(sqrt(-7)-sqrt(2)) ?

The solution to sqrt(-27)(sqrt(-7)-sqrt(2)) is -3sqrt(21)-3sqrt(6)i

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simplify sqrt(-27)(sqrt(-7)-sqrt(2))

simplify

- 27 (- 7 - 2)

- 321 - 36 i

Solution steps

- 27 (- 7 - 2)

- 27 = 3 - 3

= 3 - 3 (- 7 - 2)

- 3 = 3 i

= 33 i (- 7 - 2)

- 7 = 7 i

= 33 i (7 i - 2)

Apply the distributive law:

a (b - c) = ab - a c

33 i (7 i - 2) = 33 i 7 i - 33 i 2

= 33 i 7 i - 33 i 2

Simplify

33 i 7 i - 33 i 2 : - 321 - 36 i

= - 321 - 36 i

2^{x + 2} - 2^{x - 2}

\frac{84}{2}

f (∣ x ∣)

\frac{x ^{2} - 25}{x ^{2} + 7 x + 10}

- 420

What is sqrt(-27)(sqrt(-7)-sqrt(2)) ?
The solution to sqrt(-27)(sqrt(-7)-sqrt(2)) is -3sqrt(21)-3sqrt(6)i