Question

Prove that √10 is a irrational number​

Answer 1

Answer:

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Answer 2

Answer.

If possible let us suppose Root 10 is an irrational.

let root 10=P/Q where P and Q are co prime integer and q is not =0

on squaring

Root 10 =p square /q square

p square=10/q square

10 is factor of p square

hence 10 is factor of p

Let P =10K

p square =10 square k square

q square =10 K square

10 is factor of q square

10is factor of questions

10 is common factor of P and q

This contradict the fact that p and q are coprime

This contradict arises by our wrong supposition

our supposition root 10 is wrong

root 10 is irrational.