Prove that 5 root 3 is an irrational number


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Prove that 5 - root 3 is irrational

Answered by admin @



Hey dear here is your answer ^_^

⭐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.

CHEERZ!

Hope it helped you out ⭐^_^⭐
Thanks ⭐(^^)⭐


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