prove that 1/√12 is irrational ?
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Let us assume that 1/√ 12 is rational number.
1/√12 =p/q [where p and q are rational and q is not equal to zero. ]
Multiply both numerator and denominator by √ 12.
1/√12×√12/√ 12 = p/q.
√12/12=p/q.
√12 =12p/q.
LHS is not equal to RHS.
Irrational is not equal to rational.
Since, √ 12 is irrational.
Thus we can say that 1/√12 is also irrational.
Hope it helps.
1/√12 =p/q [where p and q are rational and q is not equal to zero. ]
Multiply both numerator and denominator by √ 12.
1/√12×√12/√ 12 = p/q.
√12/12=p/q.
√12 =12p/q.
LHS is not equal to RHS.
Irrational is not equal to rational.
Since, √ 12 is irrational.
Thus we can say that 1/√12 is also irrational.
Hope it helps.
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