Prove that if a and b are positive integers and ab is not a square, then √a + √b is irrational
Prove that if a and b are positive integers and ab is not a square, then √a + √b is irrational
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Prove that if a and b are positive integers and ab is not a square, then √a + √b is irrational
Expert Solution
Step 1
Given a & b are positive integer and ab is not perfect square.
We have to prove that √a+√b is irrational.
Step by step
Solved in 2 steps with 1 images
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