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Prove that root 3 is irrational

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Prove that root 3 is irrational

Posted by Tanish Jangra 1 year, 8 months ago

Haryana Board > Class 10 > Mathematics

3 answers

Kamini Yadav 1 year, 5 months ago

Thanks

1Thank You

Shrishti Singh 1 year, 7 months ago

Let root 3 is a rational number √3 = p/q [ p and q are co-prime no. ] √3q = p Squaring on both sides (√3q)² = p² 3q² = p² - (1) p² is divisible by 3 p is also divisible by 3 p = 3c Putting the value of p in equation (1) 3q² = (3c)² 3q² = 6c² q² = 2c² q² is divisible by 3 q is also divisible by 3 p and q have common factor 2 So, there is a contradiction in our supposition Hence √3 is a irrational

3Thank You

Shrishti Singh 1 year, 7 months ago

You want complete prove process

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Haryana Board > Class 10 > Mathematics