What is (sqrt(-50))(sqrt(-2)) ?

The solution to (sqrt(-50))(sqrt(-2)) is -10

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simplify (sqrt(-50))(sqrt(-2))

simplify

(- 50) (- 2)

- 10

Solution steps

(- 50) (- 2)

(- 50) (- 2) = - 50 - 2

= - 50 - 2

- 50 = 2 \cdot 5 i

= 2 \cdot 5 i - 2

- 2 = 2 i

= 2 \cdot 5 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 5 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 2 \cdot 5 i^{2}

Multiply the numbers:

2 \cdot 5 = 10

= 10 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 10 (- 1)

Multiply the numbers:

10 (- 1) = - 10

= - 10

\frac{3}{\frac{5}{x - 1} + 4}

\frac{( - 20 )}{( - 5 )}

1 - 8 a^{3} b^{3}

\frac{17}{14}

x (- 5 x^{2} + 4 x - 7)