How do you simplify #(sqrt3+sqrt5)^2#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Noah G Jul 11, 2016 #=(sqrt(3) + sqrt(5))(sqrt(3) + sqrt(5))# #= sqrt(9) + sqrt(15) + sqrt(15) + sqrt(25)# #= 3 + 2sqrt(15) + 5# #=8 + 2sqrt(15)# Hopefully this helps! 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 2108 views around the world You can reuse this answer Creative Commons License