To prove 5-2√3 is irrational number
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assume that 5-2root3 is rational
5-2 root3=a/b (a and b are integers)
-2 root3=a-5b/b
root3=a-5b/-2b
that is a-5b/-2b is rational
therefore root3 is rational
but this is contradiction to the fact that root 3 is irrational
therefore our assumption is wrong 5-2 root3 is irrational
all the best
5-2 root3=a/b (a and b are integers)
-2 root3=a-5b/b
root3=a-5b/-2b
that is a-5b/-2b is rational
therefore root3 is rational
but this is contradiction to the fact that root 3 is irrational
therefore our assumption is wrong 5-2 root3 is irrational
all the best
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