How do you simplify Square root of 63 – Square root of 28?

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##sqrt (7)##

##sqrt (63)## – ##sqrt (28)##

the factors of 63 are 7 and 9. 9 is a perfect square so therefore ##sqrt (63)## is ##3sqrt (7)##

the factors of 28 are 7 and 4. 4 is a perfect square so therefore ##sqrt (28)## is ##2sqrt (7)##

then, simplify:

##3sqrt (7)## – ##2sqrt (7)## = ##3-2sqrt (7)## = ##1sqrt (7)## or ##sqrt (7)##

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