How do you simplify 3 / (2 sqrt2) 32√2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 5, 2015 The most you can do is rationalize the denominator to get (3sqrt(2))/43√24 Explanation: 3/(2sqrt(2))= 3/(2sqrt(2))*sqrt(2)/sqrt(2)32√2=32√2⋅√2√2 color(white)("XXXX")=(3sqrt(2))/(2(sqrt(2))^2)XXXX=3√22(√2)2 color(white)("XXXX")=(3sqrt(2))/(2*2)XXXX=3√22⋅2 color(white)("XXXX")=(3sqrt(2))/4XXXX=3√24 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1009 views around the world You can reuse this answer Creative Commons License