how that in the domain of integers of the form a+bsqrt(-17) the factorization 169=13*13=(4+3sqrt(-17))(4-3sqrt(-17)) demonstrates that unique factorization into primes fails in that domai

Q: Compute A - 613 and (613)A, where A = - A-613 = ☐ 6 - 4 3 2 -7 - 3 1 3

A:

Q: Is it true that (3 x EN) (x²-3x +20 is a prime)? O True False

A: Is it true that ( there exists x in N)(x^2-3x+20  is a prime ) ?   True False

Q: (b) Prove that any odd number is expressible in the form 4n + 1 or 4n + 3 where n is an integer.

A: Number System

Q: A) (1 + √₂)² B) (1 -√2)² c)(1+√2)(1+√-2) D)(1+√2)(1-√√2) E)√2² + (√2)² Which of the above…

A: A) 1+22B) 1-22C) 1+21+2D) 1+21-2E) 22+22

Q: can someone help me with Finding the prime factorizaton of 245

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Q: Prove or disprove: There exists an integer a such that 14 | (3a – 5) and 21 | (2a +3).

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Q: (g) 111... 111 (126 ones) (2) Prove that the numbers given in each part cannot be prime…

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Q: Prove the following using a direct proof.  If a,b, and c are integers such that b is a multiple of…

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Q: 28000 +38000 + 48000 + 58000 + 68000 Prove that 1 8000 is a multiple of 13 using Fermat's Little…

A: Given that                                 we have to prove that it is multiple of 13 by using…

Q: √38 10 V √ 65

A: To check whether the given triangle is right triangle or not.

Q: What is the coefficent of 5 in (x + 1)7 - x²(x+3) 5

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Q: 11. (a) Give the prime factorizations of both 144 and 1200. (b) Use your answers from part (a) to…

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Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

A:

Q: Is it true that GCD(6,14,119) x LCM(6,143,119)= 6x143x119?

A: We know that GCD(a,b,c) × LCM(a,b,c) = axbxc