How do you multiply #(sqrt10 + 1)(8sqrt10 +1)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Jun 12, 2015 # = color(blue)(81 +9sqrt10)# Explanation: #(sqrt10 + 1)(8sqrt10 +1)# # =color(blue)((sqrt10 . 8sqrt10) + (sqrt(10).1)) + color(red)((1 . 8sqrt10) + (1.1))# # = color(blue)(80 +sqrt10) + color(red)(8sqrt10 +1# Grouping like terms: #color(blue)(80 +1) + color(red)(sqrt10 +8sqrt10)# # = color(blue)(81 +9sqrt10)# 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 1161 views around the world You can reuse this answer Creative Commons License