How do you rationalize the denominator and simplify $(6sqrt3)/sqrt14$ ?

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Answer 1 · 2016-07-26T13:19:11

$6(sqrt(3))/sqrt(14)=color(green)(3/7sqrt(42))$

Multiplying the numerator and denominator by $sqrt(14)$

$(6sqrt(3))/sqrt(14)xxsqrt(14)/sqrt(14) = (6sqrt(42))/14=(3sqrt(42))/7$

Note that since $42$ contains no squared factors $sqrt(42)$ can not be simplified.

How do you rationalize the denominator and simplify (6sqrt3)/sqrt14(6sqrt3)/sqrt14?