Question 144232
2√[48] + 7√[12] –√[27] 

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You need to find the highest perfect square factor in 48,12,27.

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= 2sqrt(16*3) + 7sqrt(4*3) - sqrt(9*3)

Take the square root of the perfect square factors out of the radical to get:
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= 2*4sqrt(3) + 7*2sqrt(3) - 3sqrt(3)

= 8sqrt(3) + 14sqrt(3) - 3sqrt(3)

Simplify to get:

= 19sqrt(3)
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Cheers,
Stan H.