How do you rationalize 12/sqrt13?

2 Answers
smendyka
May 17, 2018

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

Will
May 17, 2018

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.

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