What is the square root of 5 times the square root of 10? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Sep 10, 2015 #sqrt(5)*sqrt(10) = 5sqrt(2)# (assuming only primary roots; otherwise #-5sqrt(2)# is a secondary answer) Explanation: #sqrt(5)*color(red)(sqrt(10))# #color(white)("XXX")= sqrt(5)*color(red)(sqrt(5)*sqrt(2))# #color(white)("XXX")= color(blue)(sqrt(5)*sqrt(5))*sqrt(2)# #color(white)("XXX")=color(blue)(5)sqrt(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 27060 views around the world You can reuse this answer Creative Commons License