math [radicals]

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how do you multiply a radical with a regular number ? for example:
4radical2 ( 2+ 2radical3)

first term:
4sqrt2 * 2= 8sqrt2
second term
2sqrt2 * 2 sqrt3= 2*2 * sqrt (2*3)
= 4 sqrt6

first term:
4sqrt2 * 2= 8sqrt2
second term
2sqrt2 * 2 sqrt3= 2*2 * sqrt (2*3)
= 4 sqrt6

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