How do you simplify √3 ( √15 + 2 )? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Meave60 Oct 17, 2015 #sqrt 3(sqrt 15+2)=3sqrt5+2sqrt3# Explanation: #sqrt 3(sqrt 15+2)# Distribute the #sqrt 3#. #sqrt 3sqrt 15+2sqrt 3# Simplify. #sqrt 45+2sqrt 3=# #sqrt(3xx3xx5)+2sqrt 3=# #sqrt(3^2xx5)+2sqrt 3# Apply square root rule #sqrt(a^2)=a#. #3sqrt5+2sqrt3# 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 2395 views around the world You can reuse this answer Creative Commons License