sqrt(12)sqrt(6)/sqrt(8)

[math_celebrity]

sqrt(12)sqrt(6)/sqrt(8)

Simplified, we have:
sqrt(72)/sqrt(8)

The top can be written as sqrt(8 * 9) which is sqrt(8) * sqrt(9)

So we have:
sqrt(8) * sqrt(9)/sqrt(8)

Cancelling the sqrt(8), we have:
sqrt(8) * sqrt(9)/sqrt(8)
sqrt(9) = 3