What is (10sqrt(2))(-sqrt(-90)) ?

The solution to (10sqrt(2))(-sqrt(-90)) is -60sqrt(5)i

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simplify (10sqrt(2))(-sqrt(-90))

simplify

(102) (- - 90)

- 605 i

Solution steps

(102) (- - 90)

Apply rule:

a (- b) = - ab

(102) (- - 90) = - 102 - 90

= - 102 - 90

- 90 = 3 - 10

= - 102 \cdot 3 - 10

- 10 = 2 - 5

= - 102 \cdot 32 - 5

Apply radical rule:

a a = a, a \geq 0

22 = 2

= - 10 \cdot 2 \cdot 3 - 5

Multiply the numbers:

- 10 \cdot 2 \cdot 3 = - 60

= - 60 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= - 605 - 1

Apply imaginary number rule:

- 1 = i

= - 605 i

\frac{( k + 1 ) !}{k !}

1 2^{2} + 6^{2}

\frac{1}{x - 2} - \frac{6}{x ^{2} + x - 6}

(\frac{3}{2} x - 1) (2 x - 2)

\frac{31}{9}

What is (10sqrt(2))(-sqrt(-90)) ?
The solution to (10sqrt(2))(-sqrt(-90)) is -60sqrt(5)i