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Prove that 3+2√7 is irrational

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Prove that 3+2√7 is irrational

    • Posted by Harshita Solanki 5 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Akbar Ali 5 years, 7 months ago

    3+2root7 = a/b, 2root7 = -3a/b, root7 = -3ab/2b. Where L.H.S is irrational and R.H.S is rational . Therefore our assumation is wrong . Hence proved

    2Thank You

    Akbar Ali 5 years, 7 months ago

    Let us assume that 3+2root7 is rational 3+2root7 = a/b ( where a and b are co -prime numbers b not equal to 0 ) 3+2root7 = a/b 2root7 = -3a/b root7 = -3ab/2b where L.H.S is irrational and R.H.S is rational Therefore our assumation is wrong Hence ,proved.

    1Thank You

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