prove that root 5 is irrational
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Answered by
7
let us assume that root 5 is rational
root 5=a/b ( where a, b are coprimes )
root5b=a
squaring on both sides,
5b2=a2
so, 5 divides both a and b
a coprime doesn't divide two integers
this has been arisen due to our wrong assumption that root 5 is rational
so, root5 is irrational.
root 5=a/b ( where a, b are coprimes )
root5b=a
squaring on both sides,
5b2=a2
so, 5 divides both a and b
a coprime doesn't divide two integers
this has been arisen due to our wrong assumption that root 5 is rational
so, root5 is irrational.
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2
root of 5 is 2.2360679775. hence it is non terminating non-recurring. so ti is irrational.
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