How do you simplify sqrt3/(6sqrt7)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Greypo ยท Stefan V. Aug 19, 2017 sqrt(21)/42 Explanation: Times both the top and bottom by sqrt(7). This gives you (sqrt(3) * sqrt(7))/(6 * sqrt(7) * sqrt(7)) = sqrt(21)/42 21 cannot be divided by any square terms, and so this is as simplified as it can be. 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 1317 views around the world You can reuse this answer Creative Commons License