What is the square root of 50? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Alan P. · Stefan V. Sep 7, 2015 The primary square root of #50# is #5sqrt(2)# (Note that both #+5sqrt(2)# and #-5sqrt(2)# are square roots of #50#, but by definition, the primary root is the positive one). Explanation: #sqrt(50) = sqrt(5^2*2)# #color(white)("XXX")=sqrt(5^2)*sqrt(2)# #color(white)("XXX")= 5sqrt(2)# 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 2255 views around the world You can reuse this answer Creative Commons License