How do you simplify # (sqrt(5) + 4 )(sqrt(5) – 1)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Acquaintance Jun 29, 2016 #1 + 3sqrt5# Explanation: Let's multiply this out. #(sqrt5 + 4)(sqrt5 - 1)# #5 - sqrt5 + 4sqrt5 - 4# #5 + 3sqrt5 - 4# #1 + 3sqrt5# 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 980 views around the world You can reuse this answer Creative Commons License