How do you simplify sqrt(12/13)?

1 Answer
smendyka
Aug 11, 2017

See a solution process below

Explanation:

We can rewrite the expression as: sqrt(12)/sqrt(13)

We can now rationalize the denominator (or, in other words eliminate the radical from the denominator) by multiplying the fraction by the appropriate value of 1:

sqrt(13)/sqrt(13) xx sqrt(12)/sqrt(13)

(sqrt(13) xx sqrt(12))/(sqrt(13) xx sqrt(13))

sqrt(13 xx 12)/13

sqrt(156)/13

sqrt(4 xx 39)/13

(sqrt(4) xx sqrt(39))/13

(2sqrt(39))/13

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