Math, asked by BIGBRavikumar11, 1 year ago

prove 4-√5 is irrational

Answers

Answered by SIDDH7456
2
here is u r answer

Consider, 4−√5
Let 4−√5 = (a/b) a rational number 
⇒ −√5 = (a/b) − 4
⇒ −√5 = (a − 4b)/b
⇒ √5 = (a − 4b)/(−b)
Since a, b are integers, then (a − 4b)/(−b) represents a rational number.
But this is a contradiction since RHS is a rational number where as LHS (√5) is an irrational number
Hence our assumption that " 4−√5 = (a/b) is a rational number" is incorrect.
Thus  4−√5 is an irrational number 

hope u understand plz mark as brain list
Answered by abhishek12q
4
it is correct answer mark it as brainlist one
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