What is the square root of 3 times square root of 15? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Meave60 Sep 16, 2015 #3sqrt5# Explanation: #sqrt3sqrt15# #sqrtasqrtb=sqrtab# #sqrt3sqrt5=sqrt45# Factor #45#. #sqrt(3xx3xx5)=# #sqrt(3^2xx5)# #sqrt(a^2)=a#. #sqrt(3^2)=3# #sqrt(3^2xx5)=# #3sqrt5# 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 16597 views around the world You can reuse this answer Creative Commons License