2. What is the least residue of 610 C 512 10.4512 (mad 1112

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Q: write down the proof of the statement " √2 + √5 is not rational" in latex

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Q: 13. Prove 7 + √2 irrational

A: We need to prove that 7+2 is irrational number.  On the contrary, assume that 7+2 is a rational…

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Q: 11. Use the procedure in Example 13 to write the following positive integers in the form 2km, where…

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Q: Exercise 6D Use this Venn diagram to answer Questions 1 and 2. Members of youth club (U) Greg lays…

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Q: then x* 1 is odd." Give a proof by contradicton to show "1fx s even integer,

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Q: Part III: Prove the following 5. Prove that 32.753215321... is a rational number.

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Q: 10. Let x be a real number. Prove that at least one of the numbers /2 – x or /2 +x is irrational.

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Q: Prove by contradiction the following theorem For integers, the sum of two odd numbers is even.

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Q: 10.2 Find a number a that has the following three properties: (i) a = 73003 (mod 3750). (ii) 1 ≤ a ≤…

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Q: Prove for all integers n, k, and r with n ≥k≥r that (O)(=O(-) Lify both sides.) n n- r

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Q: In x2 10) + In (9) = In (10)

A: Definition used-             ln(x)+ln(y)=ln(xy)

Q: only d)

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Q: d/ Prove that the following numbers are real (for any 3 享

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Q: 2) If n is an odd integer, then H= (n-1) 2

A: To prove that n2=n-12 such that n is an odd integer.

Q: 3. Show that 3.141592592592592... is a rational number, by expressing it as a ratio of two integers.

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