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Show that 2-√3 is an irrational …

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Show that 2-√3 is an irrational number

Posted by Panthil Intwala 5 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Karunesh Kumar Mishra 5 years, 6 months ago

Let we assume that 2-√3 is R.N Therefore, it can be written as 2-√3=p/q => 2-√3= p/q => p - 2q/q = √3 since, p and q are integer Therefore, p/q is R.N Therefore, p - 2q/q is also a R.N Therefore, √3 is also a R.N But we know that √3 is irrational number Here is a contradiction So, we finally say that 2 - √3 is irrational number

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Don't post personal information, mobile numbers and other details.
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CBSE > Class 10 > Mathematics