What is (sqrt(-100))(sqrt(5)) ?

The solution to (sqrt(-100))(sqrt(5)) is 10sqrt(5)i

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simplify (sqrt(-100))(sqrt(5))

simplify

(- 100) (5)

105 i

Solution steps

(- 100) (5)

(- 100) (5) = - 100 5

= - 100 5

- 100 = 2 - 25

= 2 - 25 5

- 25 = 5 - 5

= 25 - 5 5

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 2 \cdot 5 - 5

Multiply the numbers:

2 \cdot 5 = 10

= 10 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 105 - 1

Apply imaginary number rule:

- 1 = i

= 105 i

i^{182}

6 ln (1)

- 4 \cdot \frac{3}{2}

(\frac{1}{2} + \frac{3}{4}) \cdot x \cdot 780

What is (sqrt(-100))(sqrt(5)) ?
The solution to (sqrt(-100))(sqrt(5)) is 10sqrt(5)i