What is sqrt(-2)*sqrt(-22) ?

The solution to sqrt(-2)*sqrt(-22) is -2sqrt(11)

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simplify sqrt(-2)*sqrt(-22)

simplify

- 2 \cdot - 22

- 211

Decimal Notation

- 6.63324 \dots

Solution steps

- 2 - 22

- 2 = 2 i

= 2 i - 22

- 22 = 22 i

= 2 i 22 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 2 i^{2} 22

= 222 i^{2}

22 = 211

= 2211 i^{2}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 211 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 211 (- 1)

Multiply the numbers:

2 (- 1) = - 2

= - 211

8^{2 l o g_{8} (3)}

\frac{6}{2 2}

8 \times 3

\frac{8}{16}

cos^{6} (θ) - sin^{6} (θ)