What is the square root of (16/25)? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer George C. Sep 5, 2015 #4/5# Explanation: #16/25 = (4*4)/(5*5) = (4/5)*(4/5) = (4/5)^2# So #sqrt(16/25) = sqrt((4/5)^2) = 4/5# #-4/5# is also a square root of #16/25#, but by convention when we say the square root, we tend to mean the positive one. 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 39086 views around the world You can reuse this answer Creative Commons License