how to solve: √ − 12 ⋅ √ − 6 / √ 8

Answer 1

sqrt(-12) = sqrt(-1 * 4 * 3) = sqrt(-1)sqrt(4)sqrt(3) = 2 i sqrt(3)

sqrt(-6) = sqrt( -1 * 3 * 2 ) = i sqrt(3) sqrt(2)

sqrt(8) = sqrt(2*2*2)= 2*sqrt(2)

2 i sqrt(3) * i * sqrt(3) sqrt(2)

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2 * sqrt(2)

2 cancels , sqrt(2) cancels...

then i * sqrt(3) * i * sqrt(3) = -1 * 3 = -3