Question

find the R.F of the following irrational number. 3-✓3​

Answer 1

Answer:

Let us assume that 3−

3

is a rational number

Then. there exist coprime integers p, q,q



=0 such that

3−

3

=

q

p

=>

3

=3−

q

p

Here, 3−

q

p

is a rational number, but

3

is an irrational number.

But, an irrational cannot be equal to a rational number.This is a contradiction.

Thus, our assumption is wrong.

Therefore 3−

3

is an irrational number