How do you simplify #(sqrt10+5)(sqrt10-5)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Bill Jorgensen May 20, 2018 #-15# Explanation: #(sqrt10+5)(sqrt10-5)# FOIL #sqrt10*sqrt10 -5sqrt10 + 5sqrt10 -25# combine like terms: #sqrt10*sqrt10 -25# #(sqrt10)^2 -25# #10 -25# #-15# 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 1088 views around the world You can reuse this answer Creative Commons License