Example 2. Prove that 13 is an irrational number.
Solution. Let 13 be a rational number, then
13 = ”, where p, q are integers, 9 7 0 and p, q have no c
→ 3 = 5 p² = 39²
As 3 divides 3q2, so 3 divides p2 but 3 is prime
= 3 divides p
Let p = 3m, where m is an integer.
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hey you should write to prove √13 is irrational.
remember rational nos. can be represented on number line directly not like irrational nos.
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