What is the simplified square root of 72? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Alan P. Apr 22, 2015 Note that #72 = 4xx18 = 4xx9xx2# #sqrt72 = 4xx18 = 4xx9xx2= 2^2xx3^2xx2# #=sqrt(2^2 . 3^2 . 2# # = (2)(3)sqrt2# #= 6sqrt2# Much simpler approach. #sqrt72 = sqrt(36xx2)# #=sqrt(6^2xx2)# #= 6sqrt2# Answer link Related questions How do you simplify radical expressions? How do you simplify radical expressions with fractions? How do you simplify radical expressions with variables? What are radical expressions? How do you simplify #root{3}{-125}#? How do you write # ""^4sqrt(zw)# as a rational exponent? How do you simplify # ""^5sqrt(96)# How do you write # ""^9sqrt(y^3)# as a rational exponent? How do you simplify #sqrt(75a^12b^3c^5)#? How do you simplify #sqrt(50)-sqrt(2)#? See all questions in Simplification of Radical Expressions Impact of this question 2455 views around the world You can reuse this answer Creative Commons License