InterviewSolution
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InterviewSolution
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Is √2/7 irrational or rational |
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Answer» irrational Irrational 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/2qHere LHS is irrational but RHS is rational.This contradicts the statement.Our assumption is wrong.2/ √7 is an irrational number. |
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