Question

prove that 4-5√2 is irrational

Answer 1

let 4-5 root2 be a rationl number
=>4-5 root 2 = a/b
= 4-a/b = 5 root2
= 4b-a/5b= root2
now if p is a positive prime then root p is irrational.
therefore root 2 is an irrational
hence 4-5root 2 is irrational.

Answer 2

Answer:

let 4-5 root2 be a rationl number

=>4-5 root 2 = a/b

= 4-a/b = 5 root2

= 4b-a/5b= root2

now if p is a positive prime then root p is irrational.

therefore root 2 is an irrational

hence 4-5root 2 is irrational.

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