How do you simplify [(sqrt2) + (sqrt5)] / [(sqrt2) – (sqrt5)]? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Konstantinos Michailidis Sep 11, 2015 It is (7+2sqrt2sqrt5)/(-3) Explanation: (sqrt2+sqrt5)/(sqrt2-sqrt5)=((sqrt2+sqrt5)*(sqrt2+sqrt5))/((sqrt2-sqrt5)*(sqrt2+sqrt5))=(sqrt2+sqrt5)^2/(2-5)=(2+5+2sqrt2sqrt5)/(-3)=(7+2sqrt2sqrt5)/(-3) 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 2097 views around the world You can reuse this answer Creative Commons License