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prove that 3+√2is an irrational number |
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Answer» Let us assume 3+√2is anrational numberSo,. 3+√2=a/b √2=a/b-3 √2=a-3b/bWe know that a/b is an rational number and 3 is also an rational number and when we add or subtract two rational number the result is also an rational.So,a-3b/b is an rational number.and,√2 is also a rational number. But, it contradicts the fact √2is irrational number.So, our assumption is false.Therefore,3+√2is an irrational number. AYUSH S SINGH Who are you ? Refer to ncert |
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