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Show that 5-√3 is irrational

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Show that 5-√3 is irrational

Posted by Anshuman Omm 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 2 months ago

Let us assume that 5 -√3 is rational. Then it can be written in the form

5 - √3 = p/q

or 5 - p/q = √ 3

It implies √3 is a rational number [Since 5 - p/q are rationals

But this contradicts the fact that √3 is irrational. Hence our supposition was wrong. Therefore 5 -√ 3 is irrational.

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