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Prove that 3-2√7 is irrational number

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Prove that 3-2√7 is irrational number

Posted by Mithun Kr 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Aanchal Jain 6 years, 9 months ago

Let if possible 3-2√7 is rational These exists two co prime integers p and q such that 3-2√7= p/q 2√7=p/q+3 2√7= p-3q/q √7=p-3q/2q √7=integer/integer Which will result in rational no. √7 is rational But√7 is irrational which is contradiction So,our assumption is wrong Hence 3-2√7 is irrational

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CBSE > Class 10 > Mathematics