How do you find the square root of 189? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer George C. Jul 19, 2015 #sqrt(189) = sqrt(3^2*21) = 3sqrt(21)# Explanation: If #a, b >= 0# then #sqrt(ab) = sqrt(a)sqrt(b)# So: #sqrt(189) = sqrt(9*21) = sqrt(3^2*21) = sqrt(3^2)sqrt(21) = 3sqrt(21)# This cannot be simplified further since #21# has no square factors larger than #1# 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 8913 views around the world You can reuse this answer Creative Commons License