How do you solve #(32 + sqrt 80) / 4#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Hriman Jul 19, 2018 #8+sqrt5# Explanation: #(32+sqrt80)/4=# #(32+sqrt(16*5))/4=# #(32+4sqrt(5))/4=# Split the numerator: #32/4+(4sqrt5)/4=# #8+sqrt5# 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 1650 views around the world You can reuse this answer Creative Commons License