prove that 5 - root 3 is irrational
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prove that 5 - root 3 is irrational
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⭐Let us assume that 5 - root 3 is rational. Then it can be written in the form
5 - root3 = p/q
or 5 - p/q = root3
It implies root3 is a rational number [Since 5 - p/q are rationals]
But this contradicts to the fact that root 3 is irrational. Hence our supposition was wrong. Therefore 5 - root 3 is irrational.
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