How do you simplify #4sqrt180#? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Roella W. May 31, 2016 #24sqrt(5)# Explanation: You need to find all the factors of #180#. You can then identify those that are themselves square and can therefore be taken outside the square root. #4sqrt(180) = 4sqrt(9*4*5)# #:. =4*3*2sqrt(5)# #=24sqrt(5)# 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 2228 views around the world You can reuse this answer Creative Commons License