How do you simplify √147+6√3?

1 Answer
George C.
Aug 27, 2016

√147+6√3=13√3

Explanation:

√147+6√3=√72⋅3+6√3=√72√3+6√3=7√3+6√3=13√3

In general, when you are asked to simply anything like √147 start by factoring the radicand:

147=3⋅7⋅7=3⋅72

Since this has a square factor we can simplify its square root as shown above.

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