How do you simplify sqrt(3/4)*sqrt(4/5)√34⋅√45? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Apr 7, 2015 Since sqrt(a)*sqrt(b) = sqrt(a*b)√a⋅√b=√a⋅b sqrt(3/4) * sqrt(4/5)√34⋅√45 = sqrt( 3/cancel(4) * cancel(4)/5) = sqrt(3/5) 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 1890 views around the world You can reuse this answer Creative Commons License