How do you simplify: 4 times the square root of 18? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Meave60 Jul 26, 2015 #4sqrt 18=12sqrt2# Explanation: #4sqrt 18# Factor #18# into its prime factors.y #4sqrt(2xx3xx3)# = #4sqrt((3xx3)xx2)# #4sqrt(3^2xx2)# Apply the rule #sqrt(a^2)=a# #4xx3sqrt 2# #12sqrt 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 9901 views around the world You can reuse this answer Creative Commons License