How do you simplify $3sqrt6-24+2sqrt150$ ?

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Answer 1 · 2018-05-18T17:56:39

$13sqrt6-24$

Please note that $150=25*6=5^2*6$
Therefore $2sqrt(150)=2*5sqrt6=10sqrt(6)$
Therefore $3sqrt6-24+2sqrt150= 13sqrt6-24$

We can, of course, write $24= 4*6=4(sqrt6)^2$ ,
but $(13-4sqrt6)sqrt6$ can hardly be said to be more simplified.

How do you simplify 3sqrt6-24+2sqrt1503sqrt6-24+2sqrt150?