1.

Prove that 3 + 2/5 is irrational.​

Answer»

Step-by-step explanation:

LET take that 3+2

5

is RATIONAL number

→ so, we can write this answer as

⇒3+2

5

=

b

a

Here a & b use TWO coprime number and b

=0.

⇒2

5

=

b

a

−3

⇒2

5

=

b

a−3b

5

=

2b

a−3b

Here a and b are integer so

2b

a−3b

is a rational number so

5

should be rational number but

5

is a IRRATIONAL number so it is contradict

- HENCE 3+2

5

is irrational.



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