What is the square root of 3 divided by the square root of 12? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Sep 18, 2015 #sqrt3/sqrt12 = color(green)(1/2# Explanation: We know that #color(blue)(sqrta/sqrtb = sqrt(a/b)# Hence #sqrt3/sqrt12 = sqrt(3/12)# #= sqrt(1/4)# # = sqrt1/sqrt4# # = color(green)(1/2# 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 5356 views around the world You can reuse this answer Creative Commons License