Question

prove that root 13 is not a rational number class 10 ​

Answer 1

Answer:

The rational root theorem guarantees its roots aren't rational and since √13 is a root of the polynomial, it is irrational. Let √p=mn where m,n∈N. and m and n have no factors in common. So mn can not exist and the square root of any prime is irrational.

Answer 2

Answer:

let root 13 is equal to p/q

squaring both sides

13= p²/q²

q²=p²/13

so it divides p

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