How do you multiply #(3+sqrt7) (2-7sqrt7)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Jun 12, 2015 # =color(blue)( - 43 - 19sqrt7# Explanation: #(3+sqrt7) (2-7sqrt7)# # = color(red)((3.2) - (3.7sqrt7)) + color(blue)((sqrt7 . 2) - sqrt(7).7sqrt7# # = color(red)( 6 -21sqrt7) + color(blue)(2sqrt7 - 49# Combining the like terms # = color(red)(6-49) +color(blue)(2sqrt7 - 21sqrt7)# # =color(blue)( - 43 - 19sqrt7# 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 976 views around the world You can reuse this answer Creative Commons License