Question 371656
I continue from where you are stuck
{{{((1/2)*(3* sqrt(48))*(5* sqrt(27)))}}}. 
= {{{((1/2)*(3*sqrt((2^4)*3))*(5*sqrt(3^3)))}}}
={{{((1/2)* (4*3*sqrt(3))*(3*5*sqrt(3)))}}}
={{{(1/2)*(12sqrt(3))*(15*sqrt(3))}}}
={{{90*(sqrt(3))^2}}}
=90*3
=270