How do you simplify (3 + square root of 2)(3 - square root of 2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Bhavin B. ยท EZ as pi Apr 30, 2018 7 Explanation: (3+sqrt2)(3-sqrt2) =(3xx3)+(3xx-(sqrt2))+(3xxsqrt2) -(sqrt2xxsqrt2) =9-(3.sqrt2) +(3.sqrt2)-(sqrt2.sqrt2) =9+0-(sqrt2)^2 =9-2 =7 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 9236 views around the world You can reuse this answer Creative Commons License