How do you simplify #sqrt7 (9 sqrt5 - 3 sqrt 7)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Feb 8, 2016 #9sqrt(35)-21# Explanation: #sqt(7)(9sqrt(5)-3sqrt(7))# #color(white)("XXX")=(9sqrt(5)*sqrt(7))-(3sqrt(7)*sqrt(7))# #color(white)("XXX")=9sqrt(35)-(3*7)# #color(white)("XXX")=9sqrt(35)-21# 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 1258 views around the world You can reuse this answer Creative Commons License