The Total solution for NCERT class 6-12
Determine whetherthe argument used to check the validity of the following statement is correct:p: тАЬIf x2┬аis irrational, then x isrational.тАЭThe statement is true because the number x2┬а=╧А2┬аis irrational, therefore x = ╧А is irrational.
Argument Used: x2┬а= ╧А2┬аisirrational, therefore x = ╧А is irrational.
p: тАЬIf x2┬аis irrational, then x is rational.тАЭ
Let us take an irrational number given by x = тИЪk, where k is arational number.
Squaring both sides, we get,
x2┬а= k
x2┬аis a rational number and contradicts ourstatement.
Hence, the given argument is wrong.