Question

Proove that 2-3root5 is irrational number

Answer 1

Answer:

2-3√5 is your question

let us assume to the opposite i.e,

2-3√5 as rational .

•°• 2-3√5 can be written in the form of a/b.

where a and b are co-prime numbers.

→2-3√5=a/b

→ -3√5=a/b-2

→ -3√5= a-2b/b

→ -√5=a-2b/3

•Where -√5 is an irrational number and a-2b/3 is a rational number.

Hence √5 is irrational.

Rational not equal to irrational.

Hence it is an irrational number.