2√54+5√24 = 16√6
factor 54 into:
2√(2*3^3)
Get a 3^2 so:2
*3 = √(2*3) = 6√6
factor 24 down to:
5√(2^3 *3) which is the same as:
5* 2√(2) * √3 which is the same as:
5* 2√2*3 = 5*2√6
So we are left with 6*√6 + 5*2√6 :
6√6 + 10√6
=16√6
Hope this helps :)