Question

# Present that 55 is irrational further
prove that 3+2√5 is also inmotional​

Answer 1

Assume that 3+2
5
​
is rational. Then,
3+2
5
​
=
b
a
​

5
​
=
2b
a−3b
​

This gives that
2b
a−3b
​
is rational but
5
​
is an irrational number, therefore, the assumption is wrong.
Hence, 3+2
5
​
is irrational

Answer 2

Step-by-step explanation:

Assume that 3+2√5 is rational

therefore: 3+2√5 =x

2√5 =x-3

√5= x-3/2

therefore √5 is irrational and x-3/2 is rational.

therefore a number can't be rational as well as irrational.

Hence proved,3+2√5 is irrational.

Hope this helps u