How do you simplify #(4sqrt2)/(3sqrt5)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Shwetank Mauria Sep 4, 2016 #(4sqrt2)/(3sqrt5)=(4sqrt10)/15# Explanation: #(4sqrt2)/(3sqrt5)# = #(4×sqrt2×sqrt5)/(3×sqrt5×sqrt5# = #(4sqrt10)/3×5# = #(4sqrt10)/15# 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 805 views around the world You can reuse this answer Creative Commons License