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.

Asked by Aaryan | 1 year ago |  155

##### Solution :-

Argument Used: x2 = π2 is irrational, therefore x = π is irrational.

p: “If x2 is irrational, then x is rational.”

Let us take an irrational number given by x =$$\sqrt{k}$$, where k is a rational number.

Squaring both sides, we get,

x2 = k

x2 is a rational number and contradicts our statement.

Hence, the given argument is wrong.

Answered by Aaryan | 1 year ago

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