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∣∣√2∣∣=√2≈1.414214 Explanation: sqrt(2)~~1.414214√2≈1.414214 and it is a positive value, so the absolute value applied to sqrt(2)√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 9582 views around the world You can reuse this answer Creative Commons License