Verified Answer :

pipe 1=5√96=5√(62⁴)=52²√6=20√6
pipe 2=12√150=12√(65²)=125√6=60√6
pipe 3=2√294=2√(67²)=27√6=14√6

piping=pipe 1 + pipe 2 + pipe3
piping=20√6 + 60√6 + 14√6=(20+60+14)√6=94√6

Answer: 94√6  (this is the correct answer)

your choices are not corrects

\(6 \sqrt{96}+12 \sqrt{150} +2 \sqrt{294} =6 \sqrt{16 *6} +12 \sqrt{25*6} +2 \sqrt{49*6}\)
=6×4√6+12×5√6+2×7√6
=24√6+60√6+14√6
=96√6

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