3. Show that 3√7 is an irrational number
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Step-by-step explanation:
LET US TAKE ON CONTRARY THAT 3√7 IS RATIONAL. WHEREAS RHS IS RATIONAL. THIS CONTRADICTION HAS ARISED DUE TO OUR WRONG ASSUMPTION IN BEGINNING. THEREFORE 3√7 IS AN IRRATIONAL NUMBER.
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Answer:
If possible , let 3✓7 be rational Number. Then 3✓7 is rational , 1/3 is rational. => ✓7 is rational. This contradicts the fact that ✓7 is irrational.
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