What is (sqrt(-162))(sqrt(-2)) ?

The solution to (sqrt(-162))(sqrt(-2)) is -18

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simplify (sqrt(-162))(sqrt(-2))

simplify

(- 162) (- 2)

- 18

Solution steps

(- 162) (- 2)

(- 162) (- 2) = - 162 - 2

= - 162 - 2

- 162 = 2 \cdot 9 i

= 2 \cdot 9 i - 2

- 2 = 2 i

= 2 \cdot 9 i 2 i

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 9 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 2 \cdot 9 i^{2}

Multiply the numbers:

2 \cdot 9 = 18

= 18 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 18 (- 1)

Multiply the numbers:

18 (- 1) = - 18

= - 18

- 4 - (- 16)

lo g_{2} (x)

p^{2} - \frac{1}{4}

(- 9 x)^{- 2}

\frac{- 48.3}{( - 7 )}