What is sqrt(-10)*sqrt(-24) ?

The solution to sqrt(-10)*sqrt(-24) is -4sqrt(15)

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simplify sqrt(-10)*sqrt(-24)

simplify

- 10 \cdot - 24

- 415

Decimal Notation

- 15.49193 \dots

Solution steps

- 10 - 24

- 24 = 2 - 6

= - 10 \cdot 2 - 6

- 10 = 2 - 5

= 2 - 5 \cdot 2 - 6

- 6 = 2 - 3

= 2 - 5 \cdot 22 - 3

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 - 5 \cdot 2 - 3

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 5 - 3

- 5 = 5 i

= 45 i - 3

- 3 = 3 i

= 45 i 3 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 45 i^{2} 3

= 453 i^{2}

53 = 15

= 415 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 415 (- 1)

Multiply the numbers:

4 (- 1) = - 4

= - 415

(- 3 - i)^{12}

\frac{12}{42}

x (x - 2) (x - 3)

(x + \frac{1}{x})^{3}

\frac{25}{15}