Question 122933
I'm assuming you want to rationalize the denominator right?



{{{sqrt(1/6)}}} Start with the given expression



{{{sqrt(1)/sqrt(6)}}} Break up the square root




{{{(sqrt(1)/sqrt(6))(sqrt(6)/sqrt(6))}}} Multiply the fraction by {{{sqrt(6)/sqrt(6)}}}



{{{(sqrt(1)sqrt(6))/(sqrt(6)sqrt(6))}}} Multiply the fractions




{{{(sqrt(6))/(6)}}} Multiply {{{sqrt(1)}}} and {{{sqrt(6)}}} to get {{{sqrt(1)*sqrt(6)=sqrt(1*6)=sqrt(6)}}}. Multiply {{{sqrt(6)}}} and {{{sqrt(6)}}} to get {{{sqrt(6)*sqrt(6)=sqrt(6*6)=sqrt(36)=6}}}. This is why we multiplied the fraction by {{{sqrt(6)/sqrt(6)}}}




So when we rationalize the denominator of {{{sqrt(1/6)}}} we get {{{(sqrt(6))/(6)}}}