16.(Honors Class Only)Rewrite each of the following expressions involving complex numbers in the forma +ib where a and b are real numbers a) (3 +2i) (2- 5i) b.(5 +4i) (17- 13i) - (5 +3i) (17- 13i) c) ( 5/2 + 7i/2)^2 - (5/2 + i/2)^2 d (1 +i)( 13 -4i) (1- i) e) I+ i+ i^2 + i^3

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

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Q: 4) Add or subtract the following complex numbers. (4+51)-(2-3i)= Multiply the complex numbers and…

A: we need to subtract the complex numbers and also need to find out the product.

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: 7. Multiply the following two complex numbers: (4 - 5i)(-2 + 7i)

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Q: Simplify, then express each in complex number form “a+bi” 1) -3(4+2i) -2(5-3i) 2) (4+3i)^2 3) 11+2i…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: What is the multiplicative inverse of the complex mumber z = 2-5i? 2 В. 29 29 c (1) D. (;=) А. C.…

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Q: Which operation involving complex numbers requires the use of a conjugate?(a) division (b)…

A: The conjugate of a complex number a + bi is the complex number a - bi. If a complex number is…

Q: Acceptedcharacters:numbers, decimal point markers (period or comma), sign indicators (-),spaces…

A: It is given that  Number of times a coin tossed n = 7

Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: Multiply the complex numbers and write the result in standard form. * (4+3i)(2-5i) 23-14i 8-15i…

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Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

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Q: 5. Express the following complex number in the form a+ ib, where a snd b are real 3-21 5+31" ( Find…

A: We have to solve given complex number question.

Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: Find the argument of the complex number 3 + 17i - 9. 9T - 4 97 4

A: To find the argument of given complex number

Q: If =1-i and =5-21 then draw the following complex numbers on the Argand Diagram: (a) 2, + (b) 4-4…

A: The objective of the question is drawing the given complex numbers on the Argand plane (diagram).

Q: Find the values of complex number ਦੇ + √2 333

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Q: The below diagram shows 4 of the 5th roots of some complex number z. Drag the green dot to the…

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Q: Find the argument of the following complex number, i-1 (i) 1-i i-1 (i) 1+i

A: we have to solve given

Q: Find the values of complex number 333 1 (™ + √2

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Q: a

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