How do you rationalize $sqrt(12/147)$ ?

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Answer 1 · 2015-05-13T07:09:26

$sqrt(12/147) = sqrt ((cancel(3)*4)/(cancel(3)*49))$

$= sqrt(4/49)$

We know that $color(blue)(sqrt(a/b) = sqrta/sqrtb$

Hence $sqrt(4/49) = sqrt4 / sqrt49$

$= color(green)(2/7$

As the denominator 7 is a Rational Number, we can say that we have rationalised $sqrt(12/147)$

How do you rationalize sqrt(12/147)sqrt(12/147)?