How do you rationalize the denominator and simplify #sqrt(14/3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Feb 27, 2017 #sqrt(14/3)=sqrt(42)/3# Explanation: #sqrt(14/3) = sqrt(14)/sqrt(3)# #color(white)("XXX")=sqrt(14)/sqrt(3) xx sqrt(3)/(sqrt(3)# #color(white)("XXX")=sqrt(14 xx 3)/3# #color(white)("XXX")=sqrt(42)/3# (note: #42# has no square integer factors and can not be simplified any further) 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 2450 views around the world You can reuse this answer Creative Commons License