How do you simplify (3 sqrt(2) + 2 sqrt(5))(4 sqrt(2) - sqrt(5))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer VinÃcius Ferraz Jun 20, 2018 #frac{34 + 11 sqrt 10}{27}# Explanation: #frac{3 sqrt 2 + 2 sqrt 5}{4 sqrt 2 - sqrt 5} * frac{4 sqrt 2 + sqrt 5}{4 sqrt 2 + sqrt 5}# #= frac{24 + 3 sqrt 10 + 8 sqrt 10 + 10}{32 - 5}# #= frac{34 + 11 sqrt 10}{27}# 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 3090 views around the world You can reuse this answer Creative Commons License