Question

sqrt{3}divided sqrt{18}

Answer 1

sqrt(3)/sqrt(18)


(sqrt(3)*sqrt(18))/(sqrt(18)*sqrt(18))


(sqrt(3*18))/(sqrt(18*18))


(sqrt(54))/(sqrt(324))


(sqrt(9*6))/18


(sqrt(9)*sqrt(6))/18


(3*sqrt(6))/18


sqrt(6)/6



So sqrt(3)/sqrt(18) = sqrt(6)/6

Answer 2

sqrt{ab} = sqrt{a}sqrt{b}

and since 18 = 6 x 3

sqrt{18} = sqrt{6}sqrt{3}

so sqrt{3}/sqrt{18} = sqrt{3}/(sqrt{3}sqrt{6}) =1/sqrt{6}

Answer 3

got there before me xD

Answer 4

Both answers that I posted and eigenschmeigen posted are correct (and equivalent), but my answer has a rationalized denominator (which may be what your book is leaning towards). Of course, it may want a rationalized numerator, but my experience has seen it wants a rationalized denominator.


As always, it's best to ask your teacher if you're not sure.

Answer 5

well put. rationalised denominators are the way forward.