Question

prove that 3root 3upon 2 is an irrational number​

Answer 1

Answer:

To prove: 3√3/2 is a irrational number.

Proof: Let 3√3/2 is a rational number.

Therefore,3√3/2 =a/b

Where a and b are positive integers.

3√3=2a/b

√3=2a/3b

This implyies that irrational number is equal to the rational number. But this is not possible .

Irrational number is not equal to the rational number.

Therefore our assumption is wrong.

3√3/2 is not a rational number.

Therefore 3√3/2is a rational number.

Hence proved!