What is (-sqrt(-2))(sqrt(-5)) ?

The solution to (-sqrt(-2))(sqrt(-5)) is square root of 10

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simplify (-sqrt(-2))(sqrt(-5))

simplify

(- - 2) (- 5)

10

Decimal Notation

3.16227 \dots

Solution steps

(- - 2) (- 5)

(- - 2) (- 5) = - - 2 - 5

= - - 2 - 5

- 2 = 2 i

= - 2 i - 5

- 5 = 5 i

= - 2 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= - 2 i^{2} 5

= - 25 i^{2}

25 = 10

= - 10 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 10 (- 1)

Apply rule:

- a (- b) = ab

- 10 (- 1) = 10 \cdot 1

= 10 \cdot 1

Apply rule:

a \cdot 1 = a

= 10

(2 x + 5) (2 x - 9)

(m + 9) (m - 8)

- 361

(- 3 - 16) (- 664)

(u + v)^{2}

What is (-sqrt(-2))(sqrt(-5)) ?
The solution to (-sqrt(-2))(sqrt(-5)) is square root of 10