How do you simplify $(2sqrt2 + 2sqrt24) * sqrt3$ ?

Question

3817 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-09T12:04:48

$(2sqrt2+2sqrt24)*sqrt3=2sqrt6+12sqrt2$

$(2sqrt2+2sqrt24)*sqrt3$

= $2sqrt2*sqrt3+2sqrt24*sqrt3$

and as $sqrtaxxsqrtb=sqrtab$ , this is equal to

$2sqrt6+2sqrt72$

= $2sqrt(2xx3)+2sqrt(ul(2xx2)xx2xxul(3xx3))$

= $2sqrt6+12sqrt2$

How do you simplify (2sqrt2 + 2sqrt24) * sqrt3(2sqrt2 + 2sqrt24) * sqrt3?