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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)##