What is sqrt(-6)*sqrt(-12) ?

The solution to sqrt(-6)*sqrt(-12) is -6sqrt(2)

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simplify sqrt(-6)*sqrt(-12)

simplify

- 6 \cdot - 12

- 62

Decimal

- 8.48528 \dots

Solution steps

- 6 - 12

- 12 = 2 - 3

= - 6 \cdot 2 - 3

- 6 = 6 i

= 6 i 2 - 3

- 3 = 3 i

= 6 i 23 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 6 i^{2} \cdot 23

= 263 i^{2}

6 = 32

= 2323 i^{2}

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 2 \cdot 32 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 2 \cdot 32 (- 1)

Multiply the numbers:

2 \cdot 3 (- 1) = - 6

= - 62

8 \cdot \frac{3}{2}

i - 9 i

\frac{3}{6} \div 3

(6 x - 5 i) (6 x + 5 i)

(- \frac{2}{3} x + 2)^{2}