prove that 7√3 is irratinal number
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Given,
7√3 is irrational number,
Now,
By the method of contradiction,
let us assume that 7√3 is rational number,
let,7√3 = a/b where a & b are co-primes and b not equal to 0.
Now,
7√3=a/b
we get,
√3= a/7b
Since,7,a and b are co-primes,
So,
a/7b is rational number,
So,
√3 is also rational number,
But it contradicts the fact that √3 is irrational number ,
So, our assumption is wrong
7√3 is irrational number.
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