Question # 03 (@) %23 Let I fa+bi; a,bEZli]:3 divides both a deal of the aring ZLi] of Gaussian integers. Solution and b. Prove that I is a mar

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A: Given To prove that a-b is irrational number if a and b are prime number.

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Q: show IBat = (at 5) (1+i) (a+bi where 9,6 Are reals Hense tEs Find the value 2 (9-31) (a43i) 15-51)

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Q: find the indicated power using De Moivre's Theorem:  1.) ((square root of 3)-i)6 2.)(1-i)10…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question…

Q: Show that if x+yi=(a+bi)- is true, then x-yi=(a-bi)-is all real numbers). true (x, y, a, and b are

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A: Assume such a,b exists and prove by contradiction

Q: Let u = (5,5,0) and v= = (5,5,5√√2). Compute |uxv|. Then sketch u, v, and uxv. |uxv= (Simplify your…

A: I have explained everything with in the solution. Please go through that.

Q: gcd(a,b) = (a+b, lcm(a,b))

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Q: 2 in Express (2 + √2₁) simplest a + bi form.

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Q: Find the modulus and argument of the com

A: Given,          7-xi5+3i2 and  x = 2.

Q: Let M = · [677] Find formulas for the entries of M", where n is a positive integer. (Your formulas…

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Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

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Q: 7) The perimeter of a square is 16x²-12y Find an expression for the length of each side. ( [atnioq…

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Q: Derive then prove the Explicit formula for triangular numbers Solution:

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Q: Q1) Write the following in scientific notation 1.) 1.234*10 2) -8.765*10402 3.) 1015

A: Given notation can be solved by formulaes

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Q: If o is an imaginary cube root of unity ,Prove 1 1 1 1+20 2+ @ 1+@

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Q: 5. a. Given z, = -7 + 6i(15+2) and z, = -2i(36-0) + 8i , find |z, + z2]. 4 b. Simplify (+ ), and…

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