Show that 5-√3 is irrational

1.	Show that 5-√3 is irrational
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 √3 is a rational number [Since 5 - p/q are rationalsBut this contradicts the fact that √3 is irrational. Hence our supposition was wrong. Therefore 5 -√ 3 is irrational.

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