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 #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 8934 views around the world You can reuse this answer Creative Commons License
