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Give an example such that sum of two irrational numbers is a rational number?
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Give an example such that sum of two irrational numbers is a rational ...
Example of Sum of Two Irrational Numbers Resulting in a Rational Number
To demonstrate an example where the sum of two irrational numbers results in a rational number, let's consider the following scenario:
Given Irrational Numbers:
- √2 = 1.41421356...
- -√2 = -1.41421356...
Explanation:
When we add the two irrational numbers √2 and -√2, we get:
√2 + (-√2) = 1.41421356... + (-1.41421356...) = 0
This result is a rational number, specifically 0. Therefore, the sum of the two irrational numbers √2 and -√2 yields a rational number.
This example showcases that the sum of two irrational numbers can indeed result in a rational number, contrary to the common misconception that adding irrational numbers always leads to another irrational number.
To demonstrate an example where the sum of two irrational numbers results in a rational number, let's consider the following scenario:
Given Irrational Numbers:
- √2 = 1.41421356...
- -√2 = -1.41421356...
Explanation:
When we add the two irrational numbers √2 and -√2, we get:
√2 + (-√2) = 1.41421356... + (-1.41421356...) = 0
This result is a rational number, specifically 0. Therefore, the sum of the two irrational numbers √2 and -√2 yields a rational number.
This example showcases that the sum of two irrational numbers can indeed result in a rational number, contrary to the common misconception that adding irrational numbers always leads to another irrational number.
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Give an example such that sum of two irrational numbers is a rational number?
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Give an example such that sum of two irrational numbers is a rational number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Give an example such that sum of two irrational numbers is a rational number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give an example such that sum of two irrational numbers is a rational number?.
Give an example such that sum of two irrational numbers is a rational number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Give an example such that sum of two irrational numbers is a rational number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give an example such that sum of two irrational numbers is a rational number?.
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