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Prove that 5-root 3is irritational number

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Prove that 5-root 3is irritational number

Posted by Robin Pasrija 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 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 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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CBSE > Class 10 > Mathematics