Why is the sum of the square roots of positive numbers always greater than the square root of their sum, but the sum of two squared numbers always less than the square of the sum of those same two numbers?
Why is the sum of the square roots of positive numbers always greater than the square root of their sum, but the sum of two squared numbers always less than the square of the sum of those same two numbers?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 101E
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Why is the sum of the square roots of positive numbers always greater than the square root of their sum, but the sum of two squared numbers always less than the square of the sum of those same two numbers?
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