How do you simplify ( 8 + sqrt 6) /sqrt 2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Ratnesh Bhosale Mar 26, 2016 4sqrt2+sqrt3 Explanation: (8+sqrt6)/sqrt2 (8+sqrt6)/sqrt2 xx sqrt2/sqrt2 [sqrt2(8+sqrt6)]/2 (8sqrt2+sqrt12)/2 (8sqrt2+sqrt(4xx3))/2 (8sqrt2+2sqrt3)/2 [2(4sqrt2+sqrt3)]/2 4sqrt2+sqrt3 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 5873 views around the world You can reuse this answer Creative Commons License