How do you simplify # (18 +sqrt(567))/9#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 17, 2015 #(18+sqrt(567))/9 = 2+sqrt(7)# Explanation: #(18+sqrt(567))/9# . #color(white)("XXXX")= 18/9 + sqrt(567)/9# . #color(white)("XXXX")=2+ sqrt(9^2*7)/9# . #color(white)("XXXX")=2+(sqrt(9^2)*sqrt(7))/9# . #color(white)("XXXX")=2+sqrt(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 1138 views around the world You can reuse this answer Creative Commons License