How do you simplify (2sqrt5)/(2sqrt7+3sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer 건 최. Oct 8, 2017 (4sqrt(35)-6sqrt(15)) Explanation: (2sqrt(5))/(2sqrt(7)+3sqrt(3))=(2sqrt(5))/(sqrt(28)+sqrt(27))=((2sqrt(5))(sqrt(28)-sqrt(27)))/((sqrt(28)+sqrt(27))(sqrt(28)-sqrt(27)))=(4sqrt(35)-6sqrt(15))/1=(4sqrt(35)-6sqrt(15)) 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 1662 views around the world You can reuse this answer Creative Commons License