Question

How do you simplify `10sqrt6 *sqrt2`?

Answer 1

`color(blue)(sqrta * sqrt b = sqrt (ab)`
Hence `sqrt6*sqrt2 = sqrt(6xx2) = color(blue)(sqrt(12)`

`10 sqrt12 = 10sqrt(3xx4)`

(`sqrt4 =2`)

`10sqrt12= 10xx2sqrt3`

`= 20sqrt3`