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Prove that 2 divided by root 7 is irraional |
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Answer» Answer:Hi friend, Here's the required answer:- Let us assume that 2/√7 is RATIONAL number. 2/√7= 2/√7 × (√7/√7)= 2√7/7. ( RATIONALISING) Now, 2√7/7 = p/q ( as rational no. can be written in the form of p/q=) 2√7= 7p/q √7= 7p/2q Here LHS is irrational but RHS is rational. This contradicts the statement. Our ASSUMPTION is wrong. 2/ √7 is an irrational number. Hope this HELPS you.... mark me as brainlist plz |
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