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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That is not what I asked. I did not ask you to show me proof that it is true. A proof is not an explanation. Using words only, can you please explain to me why it is true that the sum of the square roots of positive numbers is always greater than the square root of their sum, but the sum of two squared numbers is always less than the square of the sum of those same two numbers?
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