Question

prove that 5+√3 is irrational.​

Answer 1

Answer:

Assume that

5

+

3

is rational. So,

5

+

3

=

q

p

5+3+2

15

=

q

2

p

2

15

=

2

1

(

q

2

p

2

−8)

Since the RHS of the above equation is rational but

15 is an irrational number, so the assumption is wrong.

Therefore,

5+ 3

is irrational.