What is (sqrt(-5))(sqrt(-10)) ?

The solution to (sqrt(-5))(sqrt(-10)) is -5sqrt(2)

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simplify (sqrt(-5))(sqrt(-10))

simplify

(- 5) (- 10)

- 52

Solution steps

(- 5) (- 10)

(- 5) (- 10) = - 5 - 10

= - 5 - 10

- 5 = 5 i

= 5 i - 10

- 10 = 10 i

= 5 i 10 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 5 i^{2} 10

= 510 i^{2}

10 = 52

= 552 i^{2}

Apply radical rule:

a a = a, a \geq 0

55 = 5

= 52 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 52 (- 1)

Multiply the numbers:

5 (- 1) = - 5

= - 52

\frac{11}{12} = \frac{3}{4} h

1 5^{4}

4 < x^{2} < 9

4 x^{2} + 7 = 25

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