How do you simplify $( sqrt[6] + 2 sqrt [2] ) ( 4 sqrt[6] - 3 sqrt[2] )$ ?

Question

3599 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-24T10:53:21

Just simply distribute each term :-

$(sqrt6+2sqrt2)(4sqrt6-3sqrt2)$

$=sqrt6xx4sqrt6+(-sqrt6xx3sqrt2+2sqrt2xx4sqrt6)-2sqrt2xx3sqrt2$

$=24+(10sqrt3)-12=12+10sqrt3$

How do you simplify ( sqrt[6] + 2 sqrt [2] ) ( 4 sqrt[6] - 3 sqrt[2] )( sqrt[6] + 2 sqrt [2] ) ( 4 sqrt[6] - 3 sqrt[2] )?