How do you multiply #(5 + 3sqrt7) (-4+5rsqrt7) #? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Kalyanam S. May 20, 2018 #color(indigo)(=> 5r (5 sqrt7 + 21) - 4(5 + 3 sqrt7)# Explanation: #(5+3 sqrt7) (-4+ 5r sqrt7)# #=> -20 - 12 sqrt7 + 25 r sqrt7 + 15 r *7#, removing brackets and multiplying terms #=> -20 - 12 sqrt7 + 25 sqrt7 r + 105r# #color(indigo)(=> 5r (5 sqrt7 + 21) - 4(5 + 3 sqrt7)# 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 1144 views around the world You can reuse this answer Creative Commons License