Given z = 4 + 3i, find the square root of z in the form rei and then in the form u + iv where u, v E R. Show your calculations. Do not use a calculator or computer. For example, you should find in the form of the composition of trig and inverse trig functions. Leave it in that form. Do not find its decimal expansion.

Q: The area of a soccer field is represented by a? 12a + 32 square metres. - Find a simplified…

A:

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

A: Simplify each complex fraction.         32x+53y4x-34y

Q: If a + Band of = 5α-3 and ² = 5ß-3, find the equation whose roots are alß and pla.

A:

Q: Find the inverse of A. Find A? 105 216 340

A:

Q: By writing individual factors on the left in the exponential form, performing the needed operations…

A:

Q: Express the following expression in complex exponential form: v=20sin (1000t-30°)

A: To express the following expression in complex exponential form. v=20 sin1000t-30°

Q: 31) Simplify and express with positive exponents: -8y3

A:

Q: 22 Perform the indicated operations (a) (4-2i) (4 + 2i) (b) (2 + 4i) ²

A: A) (4 - 2i) (4 + 2i) We know the formula (a+b) (a-b) = a2 - b2 So, expiration becomes, = 42 - (2i) 2…

Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: Find the value of i20 + + 2i².

A:

Q: complex numbers in exponential form.

A: The given question as belonging to the complex number in which we have to find the exponential form…

Q: the square root of the product if (3 +4i) and (2 + 8i). Solve the principal root only.

A:

Q: Express answer in the form a​ +bi​   ​(2+4i​)^2

A:

Q: Find the following products.   (2 + 6i)(2 - 6i)

A: Given:2+6i 2-6i

Q: 2. Simplify the following: a. (2 + 5i ) + ( 3 – 3i ) b. (3 + 5i ) - (5– 3i ) c. (2- 3i ) (3 + 5i )…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Simplify sio2

A: Answer