How do you simplify #(5 + sqrt 3)(5 - sqrt 3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer 1s2s2p Mar 22, 2018 #22# Explanation: We have #(a+b)(a-b)# which is the factored form of #a^2-b^2# #a=5# #b=sqrt3# #5^2-sqrt(3)^2=25-3=22# 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 7400 views around the world You can reuse this answer Creative Commons License