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Determine Whether the Argument Used to Check the Validity of the Following Statement is Correct: P : "If X2 is Irrational, Then X is Rational" - Mathematics

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प्रश्न

Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.

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उत्तर

The argument used to check the validity of the given statement is false because it is given in the argument that x= π is irrational and therefore x = π is irrational; however, according to the statement, is rational.

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अध्याय 31: Mathematical reasoning - Exercise 31.6 [पृष्ठ २९]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.6 | Q 8 | पृष्ठ २९

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