What is the perfect square of 72? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Don't Memorise Jul 25, 2015 #=color(blue)(6sqrt2# Explanation: #72 # is not a perfect square, however the square root of #72# can be simplified further by prime factorising 72 #sqrt72=sqrt(2*2*2*3*3)# #=sqrt(2^2 * 2 * 3^2)# #=color(blue)(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 12912 views around the world You can reuse this answer Creative Commons License