What is (sqrt(-18))(sqrt(-2)) ?

The solution to (sqrt(-18))(sqrt(-2)) is -6

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simplify (sqrt(-18))(sqrt(-2))

simplify

(- 18) (- 2)

- 6

Solution steps

(- 18) (- 2)

(- 18) (- 2) = - 18 - 2

= - 18 - 2

- 18 = 2 \cdot 3 i

= 2 \cdot 3 i - 2

- 2 = 2 i

= 2 \cdot 3 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 3 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 2 \cdot 3 i^{2}

Multiply the numbers:

2 \cdot 3 = 6

= 6 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 6 (- 1)

Multiply the numbers:

6 (- 1) = - 6

= - 6

100 a^{2} - 25 b^{2}

\frac{2}{3} 2

\frac{1}{1 - 2 i} + \frac{3}{1 + 4 i}

4 \frac{3}{5} - 2 \frac{1}{3}

2 (5 - 4 y)