Math, asked by gurpreetbrar1241, 1 year ago

Show that7- root 5 is irrational . Given that root 5 is irrational.

Answers

Answered by shivamsingh146071
1
let 7-√5 is a rational number.

then,we know that sum of rational no and rational no is rational.

now,. (7-√5) -7=. -√5 ,(is rational).

but this contradicts the fact that √5 is irrational (given)
this contradiction arises because we let (7-√5) is rational.

hence (7-√5) is irrational.


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Answered by Jayagovind
2

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