How do you simplify #sqrt(7x^7) sqrt(42x)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer P dilip_k Apr 30, 2016 #=7sqrt6x^4# Explanation: #sqrt(7x^7)sqrt(42x)=7^(1/2)x^(7/2)*7^(1/2)6^(1/2)x^(1/2)# #=7^(1/2+1/2)6^(1/2)x^(7/2+1/2)=7sqrt6x^4# 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 895 views around the world You can reuse this answer Creative Commons License