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How we proof √2+5 is an irrational number. |
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Answer» Let √2+5 is a rational number.we take 5 another rational number.We know that difference of two rational number is rational number.Here difference of both number is √2.But it is an irrational number.Hence our supposition was wrong.So √2+5 is an irrational number.Proved. Let √2+5 be a rational numberThen,. √2+5=a/b. Where a and b are integers and b is not equal to zero √2=5+a/bAs we know that sum of two rational number is always a rational |
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