How do you simplify sqrt2/sqrt6?

1 Answer
Feb 7, 2017

Rationalize the denominator to get sqrt3/3

Explanation:

Start by multiplying the fraction by sqrt6/sqrt6,

(sqrt6xxsqrt2)/(sqrt6xxsqrt6" " Simplify to get

sqrt12/6

=(sqrt4 xx sqrt3)/6" " Finally, work out sqrt4 in the numerator:

=(2sqrt3)/6 = sqrt3/3

Remember that sqrtx/sqrty=sqrt(xy)/y