How do you rationalize the denominator $sqrt(5/6)$ ?

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Answer 1 · 2015-05-31T12:05:11

Multiply both numerator and denominator by $sqrt(6)$ :

$sqrt(5/6) = sqrt(5)/sqrt(6) = sqrt(5)/sqrt(6)*sqrt(6)/sqrt(6)$

$= (sqrt(5)sqrt(6))/((sqrt(6))^2) = (sqrt(5*6))/6$

$=sqrt(30)/6$

How do you rationalize the denominator sqrt(5/6)sqrt(5/6)?