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. · EZ as pi Apr 30, 2018 77 Explanation: (3+sqrt2)(3-sqrt2)(3+√2)(3−√2) =(3xx3)+(3xx-(sqrt2))+(3xxsqrt2) -(sqrt2xxsqrt2)=(3×3)+(3×−(√2))+(3×√2)−(√2×√2) =9-(3.sqrt2) +(3.sqrt2)-(sqrt2.sqrt2)=9−(3.√2)+(3.√2)−(√2.√2) =9+0-(sqrt2)^2=9+0−(√2)2 =9-2=9−2 =7=7 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 9251 views around the world You can reuse this answer Creative Commons License
