What is (2*sqrt(7)+ 3*sqrt(2))* (sqrt(7)- 5*sqrt(2))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer iceman Sep 29, 2015 #-(16+7sqrt14)# Explanation: #(2*sqrt(7)+ 3*sqrt(2))* (sqrt(7)- 5*sqrt(2))# #=2sqrt7^2-10sqrt7*sqrt2+3sqrt2*sqrt7-15sqrt2^2# #=2*7-7sqrt2*sqrt7-15*2# #=14-30-7sqrt(2*7)# #=-16-7sqrt14# or: #=-(16+7sqrt14)# 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 4057 views around the world You can reuse this answer Creative Commons License