What is the absolute value of Square root 2? Algebra Properties of Real Numbers Additive Inverses and Absolute Values 1 Answer Luca F. Jun 10, 2015 #|sqrt(2)|=sqrt(2)~~1.414214# Explanation: #sqrt(2)~~1.414214# and it is a positive value, so the absolute value applied to #sqrt(2)# basically keep it unchanged. #|f(x)|={(f(x) " if f(x)">="0" ),(-f(x) " if f(x)<0"):}# Answer link Related questions What are absolute values? What is the absolute value of -10 and 10? How do you know that the additive inverse of -20 is 20? How do you evaluate #|2-8|#? How do you simplify #-|-1|#? What is the additive inverse property? What is the absolute value of -9? How do you simplify #x = - abs6^2 - abs(-4 + 7) *7#? How do you simplify #abs( -11 +1)#? How do you simplify #abs6-abs(-3)#? See all questions in Additive Inverses and Absolute Values Impact of this question 9315 views around the world You can reuse this answer Creative Commons License