How do you simplify #sqrt(a^2/b^2)#? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer MeneerNask Jul 13, 2015 Use the rule #sqrt(x/y)=sqrtx/sqrty# Explanation: #=sqrta^2/sqrtb^2=|a|/|b|# Since #a^2/b^2# is necessarily positive, we must assure that #a/b# is non-negative as well (that's why the absolute bars). Or you could have used #x^2/y^2=(x/y)^2# #=sqrt((a/b))^2=|a/b|# 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 2328 views around the world You can reuse this answer Creative Commons License