What is the square root of 196y^10? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Alan P. Sep 11, 2015 #sqrt(196y^10) = abs(14y^5)# Explanation: #sqrt(196y^10)# #=sqrt(14^2xx(y^5)^2)# #= sqrt(14^2)xxsqrt((y^5)^2)# #= abs(14)xxabs(y^5)color(white)("XXX")#...we use absolute values to ensure principal roots only) #= abs(14y^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 1101 views around the world You can reuse this answer Creative Commons License