Prove that 5-root 3is irritational number

1.	Prove that 5-root 3is irritational number
Answer» Let us assume that 5 - √3 is rational. Then it can be written in the form5 - √3 = p/qor 5 - p/q = √3It implies root3 is a rational number [Since 5 - p/q are rationals]But this contradicts to the fact that √3 is irrational. Hence our supposition was wrong. Therefore 5 - √3 is irrational.

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