What is (square root 2) + 2 (square root 2) + (square root 8) / (square root 3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Jun 2, 2015 #(sqrt(2) + 2sqrt(2) + sqrt8) / sqrt3# # sqrt 8# can be expressed as # color(red)(2sqrt2# the expression now becomes: #(sqrt(2) + 2sqrt(2) +color(red)(2sqrt2)) / sqrt3# # =(5sqrt2)/ sqrt3# #sqrt 2 = 1.414 and sqrt 3 = 1.732# # (5 xx 1.414)/ 1.732# # = 7.07/1.732# # = 4.08# 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 1826 views around the world You can reuse this answer Creative Commons License