The Total solution for NCERT class 6-12
Determine whetherthe argument used to check the validity of the following statement is correct:p: “If x2 is irrational, then x isrational.”The statement is true because the number x2 =π2 is irrational, therefore x = π is irrational.
Argument Used: x2 = π2 isirrational, therefore x = π is irrational.
p: “If x2 is irrational, then x is rational.”
Let us take an irrational number given by x = √k, where k is arational number.
Squaring both sides, we get,
x2 = k
x2 is a rational number and contradicts ourstatement.
Hence, the given argument is wrong.