Find all sixth roots of – 16i. Find all seventh roots of 5 – 5i.

Q: Find the modulus of the complex number. -9

A: here we need to find the modulus of given complex number. the solution is following.

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

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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: Find the modulus of each complex number. 2 – 2v3i

A: We have to find the modulus of the complex number…

Q: Find the indicated roots, and represent them geometrically.The five fifth roots of -√3 - i.

A: We have complex number z=-3-i We can write as z=2-32-12iz=2cos7π6+isin7π6 This complex number is in…

Q: find the modulus r = |z| and the principal argument θ = Arg(z) of each given complex number z, and…

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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: find the cube roots of 125i (all of them)

A: The given complex number is z = 125i

Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: Find the nth roots of a if n = 4 and a = 10,000?

A: I'm providing hand written solution for better understanding.

Q: exp(-4 + 5i) re2mi

A: According to Euler's Formula, for any real number x; eix=cos x+i sin x

Q: Find the four fourth roots of z = 625( cos 47 + i in ). Write each root in standard form. Wo = W1 =…

A: This question can be solved using the concept of fourth root of complex numbers.

Q: Find the modulus of the given complex number. 8. -2 - i

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Q: Find all the complex fifth roots of 243. Write roots in rectangular form. Zo = 3+0i (Type your…

A: Complex Number

Q: Find the fifth roots of ( -128  + i)

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Q: Find the fourth roots of z= 16(cos 60 + i sin 60)

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Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: Find the modulus of each of the complex numbers 5i, 7, and3 + 4i.

A: we have to find the modulus of each of the complex numbers: 5i, 7, 3+4i

Q: Find the two square roots of 36i.       6i , - 6i

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Q: Find all the third roots of i

A: the solution follows as

Q: Find the 99th roots of 12-13i

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Q: onsider the following. Sixth roots of 64i (a) Us

A: Here we have to use rncosθ+2πkn+isinθ+2πkn to find the sixth root of 64i. Now,…

Q: Find all the complex fifth roots of 7776. Write roots in rectangular form. If necessary, round to…

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Q: Find all the complex fourth roots of 8 + 8i . Write roots in rectangular form. If necessary, round…

A: Topic - complex number

Q: Find the four fourth roots of z = 81 (cos 4? /3 + i sin 4? /3) . Write each root in standard form.

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Q: Find FOUR FOUsth roots -1+ 9i

A: Given complex no. is - 1+9i = z-1+9i can be expnessed as . (-1)2 + (9)2 [180-tan-1(9)…

Q: Find the distinct roots of (-7 + 2i)3/4

A: Let x= (-7 + 2i)3/4 ⇒x4=-7+2i3 On Simplifying, ⇒x4=-259+286i--(1) Let, x=u+iv Now,…

Q: Find the roots of (-i +1) all to the power 1/3

A: Our objective is to find the roots of (-i +1) all to the power 1/3

Q: 13. Find the 3 Cube roots of Z = 27i. Write your final answers in rectangular form

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Q: Find the indicated roots, and represent them geometrically.The five fifth roots of 1 + i.

A: z=1+i

Q: Find the 9 9th roots of 12-13i

A: 12-13i = re-iθr=122+132=313θ=tan-11312=-47.28

Q: Find all three cubic roots of -8i.

A: Given complex number,  Z = -8i To find the cube roots of z => z1/3

Q: Find all the real fifth roots of 243.

A: Let, x⁵ = 243 We need all the real solutions of the above equation.   Note that : 243 = 3⁵

Q: 1. Find all the roots in both polar and Cartesian form for each expression. (a) (-2+2i) (b) (-9i)?

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Q: Find all the sixth roots of 1.

A: De Moivre's theorem for roots of complex numbers: Suppose z= rcosθ+isinθ be a complex number then…

Q: Find the imaginary component if the nth root of  a + bi is determined for a = 9, b = 3, and n = 6.…

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Q: Find the 44th roots of 4+10i

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

Q: Find the modulus, Izl, and argument, 8, of the complex number. -1+i One charaes 4.6

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Q: Evaluate the given complex number: 3i (4 – 5i) (6 cos 25° + 6i sin 25°) and determine the modulus…

A: The complex number z=x+iy in its polar form can be written as z=rcosθ+isinθ. Here, the modulus,…

Q: Find the modulus of each complex number. -11+60i

A: Need to find modulus

Q: What are the fourth roots of 2√3 - 2i? Enter your answer by filling in the boxes. Enter the roots in…

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Q: Find and graph the cube roots of 73 +7i. Choose the correct cube roots of 7/3 +7i below. O A. 7(cos…

A: The given number is 73+7 i

Q: 3. Determine the cube roots of 8 at 120 degrees.

A: We have to determine the cube roots of 8 at 120 degrees. We will convert it to polar form and use…

Q: The n distinct nth roots of 1 are called the nth roots of ________.

A: The n distinct nth roots of 1 are called the nth roots of unity .

Q: calculate all the fourth roots of 2 cis (pi/4)

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Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: Use the given information to find the remaining roots. 5+2i is a root of x-12x +51lx2-78x+58=0 The…

A: From the polynomial of 4th degree

Q: 2. Find all the 6th roots of 32-32√3i.

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