What is the cube root of 1/125? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Jacob S. Mar 28, 2018 0.2, or 1/5 Explanation: #root(3)(1/125)# Can be rewritten as #root(3)1/root(3)125# Since #1*1*1=1# and #5*5*5=125#, the fraction can be rewritten as: #1/5#, which is equal to 0.2 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 10522 views around the world You can reuse this answer Creative Commons License