(2+4i) b. (5-7i)

Q: Determine the absolute value of each of the following complex numbers:a. z = 5 + 12i   b. 2 - 3i.

A: a. The given complex number is z=5+12i. The absolute value of a complex number is its distance from…

Q: Write each complex number in rectangular form. (a) 31cos 30° + i sin 30°2 (b) 4 cis 40° (c) 31cos…

A: a) 31 cos 30°+ i sin 30° 2=31·32+2i·12=3132+i

Q: Divide the following complex numbers and express the result in standard form, a + b i, where a and b…

A:

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: Add the following two complex numbers: (3 + 2i) + (5 – 31). What do you notice?

A: Given that (3+2i)+(5-3i)

Q: V-75 + V25 х -36 с.

A:

Q: Divide the following complex numbers. 1+ 8i -2 - i -2 Watcha video or use a hint.

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given expression is 4i5+2i. To express the answer in the standard form of a complex number.…

Q: Multiply and simplify the following complex numbers (-3+3i) · (3 – 2i)

A: To multiply the complex numbers

Q: Find the two square roots for each of the following complex numbers. Write your answersin standard…

A: Given complex number is -36i

Q: Multiply and simplify the following complex numbers (-4 – 4i) · (-5 – 3i)

A: Given product

Q: Divide the following complex numbers. -8 - 6i 3+ i

A: To divide: The complex numbers -8-6i3+i. Formula used: a+bc+d=ac+ad+bc+bd a2-b2=a+ba-b

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: To find each of the following quotients, and express the answers in the standard form of a complex…

Q: Evaluate (3−4i)(8i) and express as a simplified complex number.

A: A complex number is of the form z = x + iy. where x is real part of z and y is imaginary part of z.…

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: Given: -4+i+2+3i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: -5i2-4i

Q: Divide the following complex numbers 2 - 7i 4 + 9i

A: Given 2-7i4+9i.

Q: Perform the indicated operation & simplify. Express the answer as a complex number. (11 – 12i)? =

A:

Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Our Aim isto simplify the expression given below:-6i-23i-(i)

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

A:

Q: Write each of the complex numbers in the form a + iß, where a and B are real numbers. (a) 2ei/3 (b)…

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: The given expression is -2+7i-1+i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: given complex number-4-7i6i,let z=-4-7i and w=6iz/w=-1.1667+0.667i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given: The quotient 3+6i4-5i. The given quotient can be converted into the standard form of a…

Q: For the complex number 3 + 4i, give (a) the absolute value; (b) the opposite; and(c) the conjugate.

A:

Q: Which of the following complex numbers is equivalent to 3 - 5i ? (Note: i = -1) 8 + 2i 5i 3 A) 8 2…

A:

Q: Write each of the following in rectangular form for the complex numbers w = 3 + 5i and z = -4 + i.

A: In the rectangular form, a complex number can be represented as a point on a two dimensional plane…

Q: Add the following two complex numbers: (3 + 2i) + (5 – 3i). What do you notice?

A: Add the following two complex numbers: (3+2i) + (5-3i)

Q: Which of the following complex number is represented in the Argand diagram shown? -1 -1 1 2 --1- --2…

A: If we have a complex number a+ib Here a is the real part of the complex number and b is the…

Q: Combine the following complex numbers [(3 + 3i) − (5 + i)] + (4 + i)

A:

Q: Find the following quotient. Write your answer in standard form for complex numbers.  4i / 3+i

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: To express the complex number in standard form.(5+i)(2+9i) Solution: (5+i)(2+9i) On simplifying…

Q: Rewrite each of the following expressions involving complex numbers in the form a+ bi where a and b…

A: (a)(3+2i)2-5i =32-35i+2i2-2i5i3+2i2-5i = 6-15i+4i-10i23+2i2-5i = 6-11i-10-1…

Q: First simplify each of the following numbers to the  x+iy form or to the re^i teta. Then plot the…

A: The given complex number is i-4. Simplify the given complex number as follows. i-4=1i4=11…

Q: Multiply and simplify the following complex numbers: (5+2i) · (-5 – i)

A:

Q: Multiply and simplify the following complex numbers: (-3 – 2i) · (-4 + 2i)

A: Multiplication of complex numbers is same as normal multiplication. We simply multiply both numbers…

Q: Simply the each of the following complex numbers (4i – 3)(3 + 4i) a. -

A:

Q: Multiply and simplify the following complex numbers: (-2+ 2i) · (5 + 5i)

A: i = -1 i2 = -1 i3 = -1 i4 =1

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: A number of the form a+ib is known as complex number, where a and b are real numbers and i is an…

Q: Divide the following complex numbers. -23 + 11i 5 +i Vatch

A:

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

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given : −3+8i−2+i

Q: Multiply and simplify the following complex numbers: (5-5i)·(- 3+5i)

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given 3i2+4i

Q: For each of the following complex numbers give: (a) the absolute value; (b) the opposite;and (c) the…

A: Concept used : For a complex number z=x+iy,  The absolute value is z=x2+y2. Here x and y are the…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.