How do you simplify the square root of 6 times square root of 60? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Rachel Apr 4, 2018 #6 sqrt10# Explanation: #sqrt(6) xx sqrt(60)# #sqrt(6 xx 60)# #sqrt( 2 xx 3 xx 2 xx 3 xx 5 xx 2 )# #sqrt( color(green)(2) xx color(green)(2) xx color(green)(3) xx color(green)(3) xx 2 xx 5 )# #sqrt( 2^2 xx 3^2 xx 10 )# #2 xx 3sqrt 10# #6 sqrt10# 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 3665 views around the world You can reuse this answer Creative Commons License