Determine whether the given statement "(3 + 7i)(3 - 7i) is an imaginary number.", is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

Q: Express in terms of i. - 121 V- 121 = (Simplify your answer. Type your answer in the form a + bi.)

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Q: Evaluate the expression (6 – 7i) + (3 – i) and write the result in the form a + bi. |- -

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Q: 25 Divide and simplify. Write the final answer in the form a+bi: (10+5i)/(2-i)

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Q: (b) Show that i³i is real, even though i or 3i is not.

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Q: Give the conjugate of 13 – 10i

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Q: Express in the form , where a and b are a+bi real numbers.

A: 6-3i2+7i

Q: Perform the indicated operation and write your answers in standard form (4-5i)(12+11i)

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Q: Express in the form , where a and b are a+bi real numbers.

A: 19--4

Q: 22 = = Ti 2

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Q: Simplify the expression to a + bi form: (-9 – 7i) + (–2 + 6i)

A: We know that if we add two complex number then the real part is added to real part and imaginary…

Q: Find the four roots of ( 3 + i4 )

A: We know that , Complex number is of the form , z = x + iy. Also , Polar form of complex number is…

Q: Express in the form , where a and b are a+bi real numbers.

A: We have to express given number 20-8i4i in the form a+bi where a and b are real numbers.

Q: Evaluate the sum or difference, and write the result in the form a + bi. (5 - 3i) + (-4 - 7i)

A: Our AIm is to evaluate the expression given below:-(5-3i)+(-4-7i)  -(i)

Q: The imaginary unit i is a number such that: i'=10 '- - P=-10

A: since we know that i2=-1 so i=-1

Q: Convert the expression to standard form. (4+3i)(2-6i)

A: Solution: The objective is to convert the expression to the standard form

Q: Given that i is the base of the imaginary numbers, justify why i' must be equal to -i?

A: To Prove i3=-i

Q: (-11 – 6i) + (5 – 8i)

A: From the given problem:   -11-6i+5-8i   From the concept of the grouping of real and imaginary part:…

Q: (5+i)(-10 + 6i)

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Q: Write the expression complex number in standard form. as a 1) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

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Q: (3-i)² 2.

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Q: If I have to evaluate the expression i-117 and write the result in form a+bi What does the real…

A: We will use simple formula    ( i2  =  -1 ) here

Q: Show that the product of a+ bi and b+ai always results in a purely imaginary number, given that a…

A: Show that the product of (a+bi) and (b+ai) is a imaginary number . Here a and b are real number.

Q: in the complex number 8-2i, the argument is

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Q: (3 + 7i)(3 - 7i) is an imaginary number.Determine whether the statement is true or false. If the…

A: we know that a+ba-b=a2-b2 similarly, 3+7i3-7i=32-7i2 =9-49i2…

Q: In the complex number system, what is the value of the expression 16i* – 8i? + 4 ? (Note: i = -1)

A: Substitute the value of i and simplify the results.

Q: Multiply. Express your answer in the form (a + bi). 5i(3 - 61) Tutorial 123

A: We have to find multiplication of given expression.

Q: [(5+ 2i)(-1+ 4i) – 5260°]*

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Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

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Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: Find the four fourth roots of -16.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

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Q: (b) Show that it is real, even though i or 8i is not.

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Q: Evaluate the expression (8 + 3i) +(- 2 – 8i) and write the result in the form a + bi.

A: Given: 8+3i+-2-8i

Q: Perform the operation and write the result in standard form. /19+ /8i)(/19 - V8i)

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Q: Express in the form , where a and b are a+bi real numbers.

A: To express the given expression in the form of (a+bi),where,(a,b∈R). (4+2i)(-5+4i) Solution:…

Q: Which expression represents the number -2i(5- i) + (17 - 8i) rewritten in a + bi form? O 15 - 18i O…

A: Given

Q: Express in the form a + ib where a and b are real numbers. V1 - 2i

A: We will find out the required value.

Q: If 2-a-5i/(1-bi) = 3 - 5i, find a and b

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Q: Simplify the expression so that it is in the form (a+bi)  2/3-square root -1 divided by square root…

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Q: Express in the form , where a and b are a+bi real numbers.

A: We have to express the express in a+bi form for the given expression: 3+8i2 We know that…

Q: Determine the principal value of the argument of (4+ 4i) and graph it NOTE: Enter the exact answer.…

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Q: Evaluate the expression (8 7i) - (4- 2i) and write the result in the form a + bi.

A: We need to evaluate given function.

Q: Evaluate the expression and write the result in the form of  a + bi. 4/1 + i - 4/1 - i

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Q: Evaluate and express in rectangular form: (1 + 2i) (4 - 6i^2) *

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Q: show that the product of a+bi and b+ai always results in a purely imaginary number given that a and…

A: The general form of complex number is :-       a+ bi , where a is real and b is imaginary part.…

Q: Express in terms of i. - 54 - V- 54 (Simplify your answer. Type your answer in the form a+ bi.)

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Q: Express in the form , where a and b are a+bi real numbers.

A: Let the given expression be z - z = 7+5i--8+3iz = 7+5i+8-3iz = 7+8+5i-3iz = 15+2i

Q: 4. Simplify. Write each expression in the form a + bi: a. (5 – 21) + (-3 +7i) b. (5 – 2i) – (-3 +…

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Q: Is O can be represented as a complex number? Select the correct response: True False

A: Is 0 can be represented as complex number .