Question 155425
3⁄(5 √(24 ))+2⁄(5 √150)-√96 

= 3/(5*2sqrt(6)) + 2/(5*5sqrt(6)) - 4sqrt(6)

= 3/(10sqrt(6)) + 2/(10sqrt(6)) - 4sqrt(6)

lcm = 10sqrt(6)

= [3 + 2 - 40*6] / 10sqrt(6)

= -235/10sqrt(6)

= -47/2sqrt(6)

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Cheers,
Stan H.