How do you simplify (7-sqrt7)/(10+sqrt3)7−√710+√3? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Andrew012p Mar 28, 2018 See below Explanation: Given expression , (7-sqrt7)/(10+sqrt3)7−√710+√3 We get, (7-sqrt7)/(10+sqrt3) * (10-sqrt3)/(10-sqrt3) =7−√710+√3⋅10−√310−√3= ((7-sqrt7)*(10-sqrt3))/(10^2-(sqrt3)^2)=(7−√7)⋅(10−√3)102−(√3)2= (70-7sqrt3-10sqrt7+sqrt21)/9770−7√3−10√7+√2197 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1430 views around the world You can reuse this answer Creative Commons License