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QUESTION

Can square root of 10 be simplified?

no

only square roots that have factors that are square numbers can be simplified.

##sqrt(10)## has factors ##2## and ##5## but neither are square numbers

##sqrt(12)## has factors ##4## and ##3##, ##4## is a square number, (##2^2##) so ##sqrt(12)## could be simplified to ##sqrt(4 \times 3) = sqrt(4) \times sqrt(3) = 2 sqrt(3)##

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