Perform the computations in the given question and express the results in standard form a+ bi.   i(2 + i)2

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

A:

Q: Evaluate the expression 1+√−1 / 4+√−9 and write the result in the form a+bi

A: To evaluate

Q: Find the modulus and the principal value of the argument of the following powers of complex number:…

A: Explanation of the answer is as follows

Q: 12. Calculate and write the quotient in a + bi -1+2i form.

A: Given : Analysis 3−1+2i We have, 32i-1 Multiplying and dividing by 2i+1, 32i−1…

Q: Evaluate the product, and write the result in the form a + bi. (5 - 3i)( 1 + i)

A: To evaluate the product

Q: Find all real square roots of - 121. If there is more than one answer, separate them with commas. If…

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.…

A: 4-3i4+3iRationalise the…

Q: Write the product (2 + 7i)(2 - 7i) in the form a + bi.

A: We have to find the product of two complex number.

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

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.   i15

A: The given expression is i15.

Q: Find the distinct roots of (-1 – 3j)°/7

A: Given: The objective is to find the distinct roots of -1-3j37.

Q: Write the given numbers in the form a + bi where a, bER (1) (–2+2i)³ (5-4i) - (3+7i) (ii) 4+2i) + (2…

A:

Q: Find the product of 2 3i and its conjugate. The answer is a + bi where The real number a equals The…

A:

Q: 5) Evaluate and write the result in the form a + bi. ə) (-) 2+i b) 2-3i

A:

Q: Evaluate the product, and write the result in the form a + bi. (2 + 5i)(2 - 5i)

A: The given expression is (2 + 5i)(2 - 5i)

Q: Find =. Leave the answer in the form a + bi.

A: Formula : here

Q: Determine the four roots of z = -2 + 2i.

A: Given that z=-2+2i determine the four roots for a positive integer n , the complex number…

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: Write each of the following in the standard form a + bi.   (1) 1/(3-2i) 2) 5/(-2+i)

A:

Q: (a) (- 3 + 9i)(9 - 4i) (b) (- 2- i)(2 - i)

A:

Q: Express the following complex number in exponential form: (3 - 4) O -V5e-5.36/ 5e5.361 5e-5.36i…

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.   (2…

A: Given: 2-3i-1+4i Simplify the expression: 2-3i-1+4i=2-1+4i-3i-1+4i=-2+8i+3i-12i2=-2+11i-12i2

Q: Perform the computations in the given question and express the results in standard form a+ bi.   (2…

A: Given: 2-i3 Simplify using the identity (a-b)3=a3-b3-3ab(a-b). 2-i3=23-i3-3(2)(i)(2-i)

Q: Evaluate the quotient, and write the result in the form a + bi.

A: Our Aim is to evaluate the expression below:--3+5i15i-(i)

Q: Find the product of – 2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: The solution is given below:

Q: . Let z = -4 + 3i and zw = -7 – 2i. By showing clear steps, find w in the form of a+bi.

A: In this question , the value of z is inserted into zw=-7-2i, and then it is solved for value of w.

Q: Find all the complex roots of (-1 – 7i)“/'

A: Given that -1-7i17 To find all of it's complex roots.

Q: Evaluate the product, and write the result in the form a + bi. 4(-1 + 2i)

A: To evaluate the product: 4(-1+2i). Solution: 4(-1+2i) On simplifying further we get:…

Q: Let P = 5- 2i and 9=-3+7i, Write the expression in the form a+ bi:

A:

Q: Find the product of – 5 + 2i and its - conjugate. The answer is a + bi where The real number a…

A: We can solve the problem by multiplying.

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

A: Given: z = 4 + 10i

Q: Evaluate the expression (3 - i)(-1+2i) and write the result in the form a + bi. | CCEA

A: Multiply

Q: z = e(4+j3) In(6230°)

A: We evaluate  z=e(4+j3)ln(6<30°)

Q: For every real number a > 0, Find all complex numbers z, sati sfying the equati on z|-|+ a +i= 0.

A:

Q: 1. Determine the four roots of z = -2 + 2i.

A: Given;  z = -2+2i. Repost the 2nd question.

Q: Perform the computations in the given question and express the results in standard form a+ bi.…

A: We have the given rational expression for complex number as 1-i1+3i On multiplying both numerator…

Q: Perform the computations in the given question and express the results in standard form a+ bi.…

A: We have to perform the computations in the given question and express the results in standard form…

Q: 4 Evaluate the expression 2i and write the result in 7i the form a + bi.

A: We have given expression -4-2i7i -4-2i7i = -4-2i7ix-7i-7i                  = 28i+14i2-49i2…

Q: Evaluate the product, and write the result in the form a + bi. (6 + 5i)( 2 - 3i)

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi. 1/2-i

A: z=12-irationalise the denominator z=12-i×2+i2+iz=1(2+i)(2-i)(2+i)using the identity…

Q: Evaluate the product, and write the result in the form a + bi. (3 - 7i)2

A: Let the given complex number be z - z = 3-7i2z = 3-7i3-7iz = 3×3-3×7i-7i×3+7i×7iz = 9-21i-21i+49i2z…

Q: Perform the computations in the given question and express the results in standard form a+ bi. (5 -…

A: The standard form is  a+biSo,(5−3i)(2−4i)=10−8i-6i+12i2

Q: show work

A: The given expression is 2-1+2i

Q: Evaluate the product, and write the result in the form a + bi. (2 + 5i)2

A: (2+5i)2=(2+5i)(2+5i)(2+5i)2=2(2+5i)+5i(2+5i)(2+5i)2=4+10i+10i+25i2(2+5i)2=4+20i-25(2+5i)2=-21+20i

Q: (a) Given complex numbers, z, =-V3+2i and z, =-/ /2i. (i) Express z, and z, in exponential form.…

A:

Q: Perform the computations in the given question and express the results in standard form a+ bi.…

A: The given complex expression is, 5+2i5-2i The objective is to write the expression in standard form…

Q: 1. Write each power of i in the form a+bi, where a and b are real numbers. i^0

A: Any value to the power 0 is = 1 So, i0=1

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

A:

Q: Evaluate the product, and write the result in the form a + bi. (3 - 7i)(3 + 7i)

A: Given:           3-7i3+7i Solve: 3-7i3+7i           =33+37i+-7i3+-7i7i

Q: Perform the computations in the given question and express the results in standard form a+ bi.…

A: 13+i=13+i×3-i3-i=3-i32-i2