Question

log2 rational or irrational justify your answer​

Answer 1

Answer:

it is irrational as log2 's decimal exapansion is non-terminating and non-repeating value

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

To show : is rational or irrational ?

Solution :

We assume that is a rational number.

So, We can write in form of p/q where p and q are integers and q is non-zero.

We know,

Where, q-p is an integer greater than zero.

Now, it can be seen that the L.H.S. is even and the R.H.S. is odd. 

So, there is contradiction.

As is an irrational number.

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