Explanation of Revisiting Irrational Numbers In Class IX, you were introduced to irrational numbers and many of their properties. You studied about their existence and how the rationals and the irr
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Theorem 1.3 and 1.4 Theorem 1.3 : Let p be a prime number. If p divides a2, then p divides a, where a is a positive integer. *Proof : Let the prime factorisation of a be as f
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Examples 9,10 and 11 Examples 9 :Prove that \(\sqrt2\) is irrational. Solution: Let us assume, to the contrary, that \(\sqrt3\) is rational. That is, we can find integers a
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