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ICSE Class 9 Answered

Prove 1/ Root over 11 is an irrational number
Asked by bhattacharyapriyanjana49 | 07 Apr, 2022, 08:43: PM
answered-by-expert Expert Answer
Suppose 1/sqrt{11} is rational
rightwards double arrow fraction numerator 1 over denominator square root of 11 end fraction equals straight p over straight q rightwards double arrow straight q over straight p equals square root of 11 As space straight q over straight p space is space rational Therefore comma space square root of 11 space is space rational. This space is space straight a space contradiction space since space square root of 11 space is space irrational Hence comma space fraction numerator 1 over denominator square root of 11 end fraction space is space irrational
Answered by Renu Varma | 08 Apr, 2022, 09:15: PM

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