How do you simplify the square root of 40/9? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 2 Answers Bill K. Sep 15, 2015 #(2sqrt(10))/3# Explanation: #sqrt(40/9)=sqrt(4/9 *10)=sqrt(4/9)sqrt(10)=2/3 sqrt(10)=(2sqrt(10))/3# Answer link Konstantinos Michailidis Sep 15, 2015 #sqrt(40/9)=sqrt(2^3*5/3^2)=(2/3)sqrt10# 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 3217 views around the world You can reuse this answer Creative Commons License