prove that 5-√3 is irrational
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let is assume that 5-root 3 is rational
5-root 3=a/b
-root 3 = a/b -5
here -root 3 is irrational
and a/b -5 is rational
since rational is not equal to irrational
so our assumption is wrong
and hence proved
5 - root 3 is irrational
Hope it helps you
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