Question

How do you simplify `sqrt6 (sqrt3 + 5 sqrt2)`?

Answer 1

`10sqrt3+3sqrt2`
You must distribute the `sqrt6`

Explanation:

Radicals can be multiplied, no matter the value under the sign.
Multiply `sqrt6*sqrt3`, which equals `sqrt18`.
`sqrt18` `->` `(sqrt(9*2))` `->` `3sqrt2` (`sqrt9=3`)
`sqrt6*5sqrt2=5sqrt12` `->` `5*sqrt(3*4)`
`sqrt4=2` `->` `5*2sqrt3=10sqrt3`
Hence, `10sqrt3 + 3sqrt2`