How do you simplify #sqrt7(3-sqrt7)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Sep 1, 2016 #3sqrt(7)-7# Explanation: #color(red)(sqrt(7))(3-sqrt(7))# by distribution #color(white)("XXX")=color(red)(sqrt(7))*3 - color(red)(sqrt(7))*sqrt(7)# #color(white)("XXX")=3sqrt(7)-7# 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 978 views around the world You can reuse this answer Creative Commons License