4. Given that √2 is an irrational number. Show that 5+ 3√2 is an irrational number.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 19E: Prove that if is a nonzero rational number and is irrational, then is irrational.
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4. Given that √2 is an irrational number. Show that 5+ 3√/2 is an
irrational number.
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Transcribed Image Text:4. Given that √2 is an irrational number. Show that 5+ 3√/2 is an irrational number. In
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