Question

Show that 5 - √5 is irrational​

Answer 1

Answer:

it's very easy

let 5-√5 be a rational number then it can be written in the form of a/b.

5-√5 =a/b

-√5=a/b-5

-√5=a-5b/b

now here a contradiction arises that a irrational number is equal to a rational number so our assumption was wrong so 5-√5 is a irrational number. proved

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