Question

prove that 7+3√2 is an irrational number​

Answer 1

${\tt{\red{\underline{\underline{\huge{Answer:}}}}}}$ Hence it is prove irrational number

Answer 2

Answer:

Let us assume that 7+

2

is a rational number

Then. there exist coprime integers p, q,q



=0 such that

7+

2

=

q

p

=>

2

=

q

p

−7

Here,

q

p

−7 is a rational number, but

2

is a irrational number.

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

Thus, our assumption is wrong.

Therefore 7+

2

is a irrational number.