How do you simplify Square root of 24 + Square root of 54?

##5sqrt(6)##

##sqrt(24) + sqrt(54)##

First, factorise both surds:

##sqrt(4 * 6)## + ##sqrt(9 * 6)##

Square root any factors that are square numbers and put them in front of the remaining surd:

##2sqrt(6) + 3sqrt(6)##

Now you can add them, as they are like terms:

##5sqrt(6)##