Question

How do you simplify `(4+2sqrt2)(5+3sqrt2)`?

Answer 1

You can multiply the two brackets as:
`=(4*5)+(4*3sqrt(2))+(5*2sqrt(2))+(2*3sqrt(2)sqrt(2))=`
`=20+12sqrt(2)+10sqrt(2)+12=`
`=32+22sqrt(2)`
`=2(16+11sqrt(2))`