How do you simplify #2div sqrt2#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Jade Apr 9, 2018 #sqrt2# Explanation: #2-:sqrt2# #rArr (sqrt2)^2 -: sqrt2# #rArr (sqrt2)^2/sqrt2# #rArr (sqrt2)^(2-1)# Law of indices : #a^m/a^n =a^(m-n)# #rArr sqrt2# That's it, Hope this helps :) 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 2296 views around the world You can reuse this answer Creative Commons License