Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.) 8i Identify the number 8i. Select all that apply. A. pure imaginary B. nonreal complex C. real O D. complex

Q: efer to the complex expression below. Rationalize it and enter your result in the text box. Write a…

A: Given query is to rationalize the expression.

Q: How do you find the inverse of a complex number? The number in question is: z = 4 + 3i

A: The inverse of a complex number z is 1/z.Given: z = 4+3iThe inverse is,

Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: Evaluate every complex number equations given. 1) z = e(4+j3) In(6230°) 10 2) z = (-¡)(- 3) z =…

A: Given:  1. z=e4+j3ln6∠30° 2. z=-j22-j2210 3. z=45+j3 Evaluate each of the given complex numbers. "As…

Q: 38. Let a be a complex number that is algebraic over Q and let r be a rational number. Show that a'…

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Q: Use the 3 examples below to answer the questions. Example A Example B Degree: 4 Degree: 3v Number of…

A: Example A :             Degree :  4           Number of real roots :  2        Number of complex…

Q: Simplify the complex fraction. 1 4 2 64 1

A: To simplify the fraction

Q: Write the following as a complex number in the form A+Bi   Square root of -245 (i couldnt find the…

A: Let -245=x+iy. The value of i=-1. Therefore, -245=x+iy can be represented as, 245i=x+iy0+75i=x+iy

Q: Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these…

A: We have to identify the given number.

Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O…

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Q: when adding or subtracting Imaginary and complex numbers you can only combine the _____ with the…

A: When adding or subtracting imaginary and complex numbers you can only combine the reals with the…

Q: Write the following complex numbers in exponential form. The principal value of ал the argument…

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Q: Identify the roots of the DE from its auxiliary equation: У" - бу" + 11у' - бу %3D0 6y = 0 Select…

A: Given: y'''-6y''+11y'-6y=0 So, we can also write as: D3y-6D2y+11Dy-6y=0D3-6D2+11D-6y=0

Q: Which set of numbers does not contain the value below? (iV3)² Complex numbers Pure imaginary numbers…

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Q: Simplify this complex fraction: | H +3 4

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Q: * Enpress the following complex #s into real and Fmaginary part 3 = It i

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Q: Let= A+ iB. Calculate 1) the real and imaginary parts of (2-B)(A/C), real , imag =

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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: Determine whether the given statement "Some irrational numbers are not complex numbers", is true or…

A: Given: Statement: "Some irrational numbers are not complex numbers". To determine: Given statement…

Q: (SHOW al the steps) 1. Write the complex number i +2 in the form of ret® .

A: Here we use modulus and arg.

Q: Which statement best describes the roots of f (x) = x* O 1 real, multiplicity of 3 O 2 real, 1…

A: Solve the following

Q: Identify the roots of the DE from its auxiliary equation: у" - - бу %3D 0 бу" + 11у' — Select one:…

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Q: 13. Find the complex number.

A: Given real part=4 Imaginary part=-7i

Q: lentify the real and imaginary parts of 4i. he real part is and the imaginary part is rite a complex…

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Q: The absolute value of z is 5, Imaginary part of z is 4, Real part of z ox=3 ox= 3i ox = -4 Ox= 3 –…

A: image is attached

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

Q: 1. Simplify the following list of complex expressions to the form a + ib where a, b are real…

A: we need to simplify the given complex expression to the form a+ib we know i=-1,  i2 = -1,  i3=-i, i4…

Q: 7. (13+ 11i) - (-19)

A:

Q: Find non-zero real number values of a, b, c, and d such that the sum (a + bi) + (c + di) is... -a…

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Q: Identify the roots of the DE from its auxiliary equation: у" - бу" + 11у' — бу —D 0 Select one: a.…

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Q: The expression 3 + j4 is a complex number. Compute the absolute value. a. 6 b. 4 с. 5 d. 7

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Q: Identify the real and imaginary parts of – 7. The real part is and the imaginary part is Write a…

A: If the complex number is in the form z=a+ib, then the real part of z is a and the imaginary part of…

Q: 13 (b) Write the complex number (-+0 * in the simplest form

A: here we will find simplest form of complex no.

Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex numl…

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Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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Q: Math 7: The sum of two complex numbers, where the real numbers do not equal zero, results in a su of…

A: Given that: sum of two complex numbers = 34i

Q: 3i divided by its conjugate? What is the quotient of the complex number 4 品一 Do

A: Topic : division of complex number

Q: Use the value of the discriminant to determine the number and type roots of 2 +20 = 12z – 16-…

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Q: Q5- Simplify the complex number (use the positive root only) 2 3-4i (i)42 + 12-V-64 | 1-4i 1+i) 5+i…

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Q: 8. The number of roots of a complex is equal to the index of the radical sign True O False

A: The radical operation can also be performed for a given complex number. The nth radical of a complex…

Q: For Exercise, use the binomial theorem to find the value of the complex number raised to the given…

A: We will use

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: Evaluate -b+ Vb2- 4ac for the given values of a, b, and c. Write the result as a complex number.…

A: to express the result of substitution as a complex number in the standard form

Q: Add ( plus ) the following complex numbers: a) 9+j3 and 5+j8 b) -18+j23 and 30-j15 c) 2<45° and…

A: 12. we have to add the complex numbers a)                            9+j3+5+j8=9+5+j3+j8=14+j11 b)…

Q: Let a be a complex number 0. What is the absolute value of a/ā? O (A) 1. (B) 2. (C) 3. 4. O 000

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Q: 2. Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate the discriminate for the following equation then use it to determine the number of distinct…

A: Given,

Q: Vrite cach quotient as a complex number. 28. 31 29. 3-21 21. 27. 5

A: