How do you simplify (3 - 2√2) (2 - 5√2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Kalyanam S. Jul 13, 2018 #color(green)(=> 26 - 19 sqrt2# Explanation: #(3-2 sqrt2) * (2 - 5 sqrt2)# #=> 6 - 4 sqrt2 - 15 sqrt2 + (2 sqrt 2 * 5 sqrt2)# #=> 6 - 19 sqrt2 + 10 (sqrt2)^2#, #color(crimson)((sqrt2)^2 = 2# #=> 6 - 19 sqrt2 + 20# #color(green)(=> 26 - 19 sqrt2# 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 3657 views around the world You can reuse this answer Creative Commons License