prove that 3√3 is irrational no.
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ek va line c hova contradiction ali va ayegi sayad
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If possible let us assume that 3root3 is a rational number . So 3root3 = p/q (where p and q are co primes, integers and q is not equal to 0.)
3root3 = a/b
root3 = a/3b
We know that root3 is an irrational number. But we have written root3 in the form of p/q that is integer/integer and so our assumption is wrong and so 3root3 is irrational.
hence proved.
3root3 = a/b
root3 = a/3b
We know that root3 is an irrational number. But we have written root3 in the form of p/q that is integer/integer and so our assumption is wrong and so 3root3 is irrational.
hence proved.
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