How do you rationalize the denominator and simplify sqrt(14/3)?

1 Answer
Alan P.
Feb 27, 2017

sqrt(14/3)=sqrt(42)/3

Explanation:

sqrt(14/3) = sqrt(14)/sqrt(3)

color(white)("XXX")=sqrt(14)/sqrt(3) xx sqrt(3)/(sqrt(3)

color(white)("XXX")=sqrt(14 xx 3)/3

color(white)("XXX")=sqrt(42)/3

(note: 42 has no square integer factors and can not be simplified any further)

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