(b) Prove that √2+√3 is irrational. Hint: Assume that √2+√3 is rational. Construct, under this assumption, another rational number that involves only one square root.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter9: Polynomial And Rational Functions
Section9.3: Polynomial Equations
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(b) Prove that √√2 + √√3 is irrational.
Hint: Assume that √2+√3 is rational. Construct, under this assumption, another rational
number that involves only one square root.
Transcribed Image Text:(b) Prove that √√2 + √√3 is irrational. Hint: Assume that √2+√3 is rational. Construct, under this assumption, another rational number that involves only one square root.
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