How do you rationalize #12/sqrt13#?

2 Answers
May 17, 2018

Answer:

See a solution process below:

Explanation:

To rationalize a fraction we need to multiply the fraction by the appropriate form of #1# to eliminate the radical in the denominator:

#12/sqrt(13) => sqrt(13)/sqrt(13) xx 12/sqrt(13) => (12sqrt(13))/(sqrt(13))^2 => (12sqrt(13))/13#

May 17, 2018

Answer:

It becomes #(12*sqrt(13))/13#

Explanation:

To get this, you need to understand that #sqrt13*sqrt13=13#.

So you want to multiply the entire fraction by #sqrt13/sqrt13# which will remove the surd (square root) from the denominator, moving it to the numerator i.e. #(12/sqrt13)*sqrt13/sqrt13 = (12*sqrt(13))/13#.

Hope this helps.