How do you simplify sqrt2/sqrt6? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Aaron C. ยท EZ as pi 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 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify 7/(""^3sqrt(5)? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))? See all questions in Multiplication and Division of Radicals Impact of this question 2009 views around the world You can reuse this answer Creative Commons License