Simplify the complex number i ,65 as much as possible.

Q: when dividing complex numbers you must find the complex conjugate of the ________

A: When dividing the complex numbers, we must find the complex conjugate.

Q: simplify each complex fraction. (1/2 - 1/4)/(5/8 + 3/4)

A: Here we have to simplify the ,  12-1458+34

Q: Write the complex number in standard form. V-54

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Q: Write the complex number in rectangular form. 5 cis 315°

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Q: What is the complex conjugate of 2 + 3i? What happens when you multiply this complex number by its…

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Q: Multiply each complex number by its complex conjugate. a. 1 + i   b. 4 − 3i

A: We have to multiply each given complex number by its complex conjugate: a.  1+ib.  4-3i We know for…

Q: For the complex number 3+ 4i the real part is and the imaginary part is

A:

Q: To subtract two complex numbers geometrically, first represent them as ________.

A: To subtract two complex numbers geometrically, first represent them as vectors u and v. Consider two…

Q: 32/-20° (b) (6 - j8)(4 + j2) 20 10+j24 -

A:

Q: Write the complex number 2 − √−18 in standard form.

A: The given complex number is 2--18 To find: Standard form (a+ bi)

Q: For the complex number 3 + 6i the real part is and the imaginary part is

A: Given that Complex number = 3 +6i

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.15

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.

Q: Simplify the complex number and write it in standard form. −14i5

A:

Q: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:…

Q: sin(0.346 – 0.548i), |

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Q: Subtract. (-3+5i)– (-4+6i) Write your answer as a complex number in standard form.

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Q: Simplify the complex number i .61 as much as possible.

A: We will use following relation to minimize the given complex number. i2=-1 and i4=i2×i2=-1×-1=1

Q: Write the complex number in standard form. (Simplify your answer completely.) 5 cis 210°

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Q: Solve each equation in the complex number system. x2 + x + 1 = 0

A: x2+x+1=0 Comparing with ax2+bx+c=0, we get a=1,  b=1  &  c=1

Q: Divide. -5i -3-2i Write your answer as a complex number in standard form.

A: The given expression is -5i-3-2i

Q: For the complex number 3  4i the real part is ,and the imaginary part is

A: Complex number: The complex number is 3+4i For any complex number a+ib the real part is a the…

Q: Rewrite the complex number 10e5 in a + bi form. Give the exact answer.

A: Given : The complex number 10e4.5i.   To write the given complex number in a + bi form.

Q: Plot the complex number. 7 - i

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Q: 60 6-V-8 5. 6. 4 + V-25 -2

A: We have to simplify the complex numbers. 4. i460 5. 6--8-2 6. 4+-25

Q: Simplify the complex number i^51 as much as possible.

A: Consider i51, i51=i412i3=i412·i2·i It is known that i4=1. So, i51=112·i2·i=1·i2·i=i2·i

Q: Is the sum of a complex number and its complex conjugate a real number?

A: Consider the given statement as "Is the sum of a complex number and its complex conjugate a real…

Q: Solve the following complex roots and plot the solutions if (z – 5+ i) = -729.

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Q: Add the complex numbers -1.22+j2.44 and -4.25+j5.25

A: Add the complex numbers

Q: 3-6. -3 =

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Q: Simplify the complex number: (-√5,10)/(√10  , 5)

A: A complex number is written in the form of a+ib, where a and b are real numbers, and 'i' is called…

Q: Write the complex number in standard form. -40

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Q: Simply each complex fraction  -4/3  /   2/9

A:

Q: How do you add two complex numbers?

A: Suppose two complex numbers a=x1+iy1, b=x2+iy2

Q: Multiply the complex number and write in standard form: (1–3i)(2+i)(1–4i)

A: (1-3i)(2+i) = 2 + i - 6i - 3i² = 2 - 5i - 3(-1) = 2 - 5i + 3 = 5 - 5i = 5(1 - i)

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.12

A: 12+0i

Q: Plot the complex number. 6V2 - 6/2i

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Q: Simplify the complex number i^43 as much as possible.

A: To find the value of complex number  i43

Q: Solve each equation in the complex number system. x2 + 3 = x

A: Complex numbers are those numbers which is represented in the form of a + ib where is a real part…

Q: simplify each complex fraction. (4/ab - 3/b2)/(1/a + 3/b)

A: We have to simplify the complex fraction: 4ab-3b21a+3b Rewriting the complex fraction,…

Q: implify the complex number i .49 as much as possible.

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Q: What is the real and imaginary parts of the complex number -5/6i

A: z = - (5/6)i can be written as, z = 0 + (-5/6)i

Q: Solve 3x2 - x + 4 = 0 over the set of complex numbers.

A: Given : 3x2 - x + 4 = 0   Use the quadratic formula to find the solutuons.   x = (-b ± √b2 - 4ac)/2a…

Q: simplify each complex fraction. (5/8 - 1/2)/(1/6 + 3/4)

A: the given complex fraction is:  (5/8 - 1/2)/(1/6 + 3/4) we have to simplify the given complex…

Q: (show all the steps) 1. Write the complex number i + in the form of rele

A: We have to change the given complex number into polar form

Q: Transform the complex number into its rectangular and exponential form. (2 +2i)

A: Here, the given complex number is: z=2+2i which is of the form x+iy. So, the given complex number is…