What is (3sqrt(-7))(2sqrt(-8)) ?

The solution to (3sqrt(-7))(2sqrt(-8)) is -12sqrt(14)

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simplify (3sqrt(-7))(2sqrt(-8))

simplify

(3 - 7) (2 - 8)

- 1214

Solution steps

(3 - 7) (2 - 8)

- 7 = 7 i

= 37 i 2 - 8

- 8 = 22 i

= 37 i 2 \cdot 22 i

Multiply the numbers:

3 \cdot 2 \cdot 2 = 12

= 127 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 127 i^{2} 2

= 1272 i^{2}

72 = 14

= 1214 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 1214 (- 1)

Multiply the numbers:

12 (- 1) = - 12

= - 1214

(3 a + 4)^{2}

(4 + 3 x)^{2}

(3 e^{x})^{2}

(x - 2) (2 x - 3)

\frac{10}{80}

What is (3sqrt(-7))(2sqrt(-8)) ?
The solution to (3sqrt(-7))(2sqrt(-8)) is -12sqrt(14)