How do you simplify ( 7 + sqrt3 ) (7 - sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Eddie Jul 1, 2016 = 46 Explanation: you use this idea (a-b)(a+b) = a^2 + ab - ab - b^2 = a^2 - b^2 so you should get 7^2 - (sqrt 3)^2 = 49 - 3 = 46 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 1670 views around the world You can reuse this answer Creative Commons License