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

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

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

simplify

(5 - 2) (- 5)

- 510

Decimal Notation

- 15.81138 \dots

Solution steps

(5 - 2) (- 5)

Apply rule:

(a) = a

(- 5) = - 5

= 5 - 2 - 5

- 2 = 2 i

= 52 i - 5

- 5 = 5 i

= 52 i 5 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 52 i^{2} 5

= 525 i^{2}

25 = 10

= 510 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 510 (- 1)

Multiply the numbers:

5 (- 1) = - 5

= - 510

(x + 2) \cdot (x + 3)

(6 w)^{2}

\frac{169}{4}

\frac{x ^{2} + x - 56}{x ^{2} - 15 x + 56}

\frac{i ( 3 + i )}{2}

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