Add $4 \sqrt{6}-8 \sqrt{10}$ and $3 \sqrt{6}+12 \sqrt{10}$.
(N/A) To add the given expressions,we group the like terms:
$(4 \sqrt{6}-8 \sqrt{10}) + (3 \sqrt{6}+12 \sqrt{10})$
$= (4 \sqrt{6} + 3 \sqrt{6}) + (-8 \sqrt{10} + 12 \sqrt{10})$
$= (4 + 3) \sqrt{6} + (-8 + 12) \sqrt{10}$
$= 7 \sqrt{6} + 4 \sqrt{10}$
$(4 \sqrt{6}-8 \sqrt{10}) + (3 \sqrt{6}+12 \sqrt{10})$
$= (4 \sqrt{6} + 3 \sqrt{6}) + (-8 \sqrt{10} + 12 \sqrt{10})$
$= (4 + 3) \sqrt{6} + (-8 + 12) \sqrt{10}$
$= 7 \sqrt{6} + 4 \sqrt{10}$
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