How do you simplify $sqrt12/sqrt49$ ?

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Answer 1 · 2015-10-17T19:20:16

$(2sqrt3)/7$

Factor out the numbers inside the radicals, then take out any perfect squares.

$[1]color(white)(XX)sqrt12/sqrt49$

$[2]color(white)(XX)=sqrt(2^2*3)/sqrt(7^2)$

$[3]color(white)(XX)=color(red)((2sqrt3)/7)$

How do you simplify sqrt12/sqrt49sqrt12/sqrt49?