show that 5-2Г3 is irration number
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let us assume 5-2√3 is rational
a and b are co-primes
Then,
5-2√3=a/b
2√3=a/b-5
2√3=a-5b/b
√3=a-5b/2b
here a-5b/2b is rational but, √3 is irrational
so, a-5b/2b also irrational.
This contradiction arises due to our wrong assumption 5-2√3 is rational.
Hence 5-2√3 is irrational
.'. hence proved
PLZ MARK IT AS BRAINLIST ANSWER
a and b are co-primes
Then,
5-2√3=a/b
2√3=a/b-5
2√3=a-5b/b
√3=a-5b/2b
here a-5b/2b is rational but, √3 is irrational
so, a-5b/2b also irrational.
This contradiction arises due to our wrong assumption 5-2√3 is rational.
Hence 5-2√3 is irrational
.'. hence proved
PLZ MARK IT AS BRAINLIST ANSWER
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