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State Whether the Given Statement is True Or False: 1 .The Sum of Two Irrationals is an Irrational - Mathematics

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Question

 State whether the given statement is true or false:

1 .The sum of two irrationals is an irrational 

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Solution

The sum of two irrationals is an irrational - False
Counter example: ` 2 + sqrt(3)  and 2 - sqrt(3)` are two irrational numbers. But their sum is 4, which is a rational number.

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Chapter 1: Real Numbers - Exercises 4

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercises 4 | Q 6.3
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