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Root √5 is irrational

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Root √5 is irrational

    • Posted by Harshit Hada 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Navjot Singh 6 years, 10 months ago

    Let us assume that √5 is rational, then it will be =a/b a and be are coprime numbers. √5=a/b Squaring both sides 5=a²/b² 5b²=a² It means 5 will divide a² and also a. 5 will divide a for some integer c 5c=a (squaring both sides) 25c² = a² So 25c²=5b² 5c²=b² It contradicts that a and b are coprime, our assumption was wrong and √5 is irrational

    3Thank You

    Harshit Hada 6 years, 10 months ago

    How i can solve it

    0Thank You

    Vishwaraj Singh 6 years, 10 months ago

    Yes bro

    0Thank You

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