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

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##5sqrt(6)##

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

First, factorise twain surds:

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

Square radicle any factors that are balance gum and put them in face of the retaining surd:

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

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

##5sqrt(6)##

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Source coalesce