Complex numbers Questions and Answers

Simplify the expression to a + bi form:
√100+√-27-√√4+ √−108
Math
Complex numbers
Simplify the expression to a + bi form: √100+√-27-√√4+ √−108
Simplify the expression to a + bi form:
√9-√-2+√64+ √-18
Math
Complex numbers
Simplify the expression to a + bi form: √9-√-2+√64+ √-18
Express in simplest a + bi form:
(6-5yi) (5-i) + (6 - 5yi)(2+i)
Math
Complex numbers
Express in simplest a + bi form: (6-5yi) (5-i) + (6 - 5yi)(2+i)
If a = -3 and b = -i, then find the value of a³b in fully simplified form.
Answer:
Submit Answer
Math
Complex numbers
If a = -3 and b = -i, then find the value of a³b in fully simplified form. Answer: Submit Answer
Express (2/3 + √2/3i)² in simplest a + bi form.
Math
Complex numbers
Express (2/3 + √2/3i)² in simplest a + bi form.
(4-3i) ² in simplest a + bi form.
Express √5
Answer:
Submit Answer
Math
Complex numbers
(4-3i) ² in simplest a + bi form. Express √5 Answer: Submit Answer
Write as a trinomial in simplest form:
(4z -3i)²
Math
Complex numbers
Write as a trinomial in simplest form: (4z -3i)²
Write as a trinomial in simplest form:
(4y - 51)2
Math
Complex numbers
Write as a trinomial in simplest form: (4y - 51)2
Simplify the expression to a + bi form:
(-7-9i) + (10 + 10i)
Math
Complex numbers
Simplify the expression to a + bi form: (-7-9i) + (10 + 10i)
Simplify the expression to a + bi form:
-√81-√-20+√1+√-80
Math
Complex numbers
Simplify the expression to a + bi form: -√81-√-20+√1+√-80
Watch help video
If a = -5i and b = 2 + i, then find the value of a³b in fully simplified form.
Answer:
Submit Answer
Math
Complex numbers
Watch help video If a = -5i and b = 2 + i, then find the value of a³b in fully simplified form. Answer: Submit Answer
Simplify the expression to a + bi form:
(4+2i)+(-12-2i)
Math
Complex numbers
Simplify the expression to a + bi form: (4+2i)+(-12-2i)
Write √-18 in simplest radical form.
Math
Complex numbers
Write √-18 in simplest radical form.
Simplify the expression to a + bi form:
(-7-3i)(11- 8i)
Math
Complex numbers
Simplify the expression to a + bi form: (-7-3i)(11- 8i)
Simplify the expression to a + bi form:

(11 +5i)(-10-8i)
Math
Complex numbers
Simplify the expression to a + bi form: (11 +5i)(-10-8i)
A fossilized leaf contains 34% of its normal amount of carbon 14. How old is the fossil to the nearest year? Use 5600 years as the half-life of carbon 14.
A. 33,849
B. 3,357
C. 28,490
D. 8,716
Math
Complex numbers
A fossilized leaf contains 34% of its normal amount of carbon 14. How old is the fossil to the nearest year? Use 5600 years as the half-life of carbon 14. A. 33,849 B. 3,357 C. 28,490 D. 8,716
Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: 2, 4+7i, -7-3i, 0
Math
Complex numbers
Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: 2, 4+7i, -7-3i, 0
Multiply. (-5+3i)(-6+2i) Write your answer as a complex number in standard form.
Math
Complex numbers
Multiply. (-5+3i)(-6+2i) Write your answer as a complex number in standard form.
Express √-64-√-49 as a complex number in standard form:
√64-√√ 49 =
Question Heln:
Math
Complex numbers
Express √-64-√-49 as a complex number in standard form: √64-√√ 49 = Question Heln:
Consider the following polynomial inequality.
x²(x + 8)(x - 1) > 0
Step 1 of 2: Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).
Math
Complex numbers
Consider the following polynomial inequality. x²(x + 8)(x - 1) > 0 Step 1 of 2: Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).
What is the value of the modulus of 6 - 4i?
Enter your answer as a simplified radical in the box.
Math
Complex numbers
What is the value of the modulus of 6 - 4i? Enter your answer as a simplified radical in the box.
If v= 2i - 3j and w=xi + 9j, find all numbers x for which ||v+w|| = 7.
Select the correct choice and fill in any answer boxes in your choice below.
A. x =
B. There is no solution.
Math
Complex numbers
If v= 2i - 3j and w=xi + 9j, find all numbers x for which ||v+w|| = 7. Select the correct choice and fill in any answer boxes in your choice below. A. x = B. There is no solution.
Rewrite the expression in a + bi form: -3 + i/6 +6i
Math
Complex numbers
Rewrite the expression in a + bi form: -3 + i/6 +6i
Use a calculator to perform the indicated operations. Give the answer in rectangular form,
expressing real and imaginary parts to four decimal places.
55(cos7π/9 + i sin7π/9)/27.5 (cos3π/8+ i sin3π/8)
Math
Complex numbers
Use a calculator to perform the indicated operations. Give the answer in rectangular form, expressing real and imaginary parts to four decimal places. 55(cos7π/9 + i sin7π/9)/27.5 (cos3π/8+ i sin3π/8)
Let z = -5 + 6i, and 22 = a + bi. What are the values of a and b?
a =
and
b=
Math
Complex numbers
Let z = -5 + 6i, and 22 = a + bi. What are the values of a and b? a = and b=
Determine the polar form of the complex number 5-3i. Express the angle in degrees, where 0 ≤ θ ≤ 360°, and round numerical entries in the answer to two decimal places.
5.83(cos329.04° - isin329.04°)
329.04(cos329.04°-isin329.04°)
329.04(cos5.83 + isin5.83°)
5.83(cos329.04° + isin329.04°)
Math
Complex numbers
Determine the polar form of the complex number 5-3i. Express the angle in degrees, where 0 ≤ θ ≤ 360°, and round numerical entries in the answer to two decimal places. 5.83(cos329.04° - isin329.04°) 329.04(cos329.04°-isin329.04°) 329.04(cos5.83 + isin5.83°) 5.83(cos329.04° + isin329.04°)
Add or subtract. Write the answer in standard form.
(17-12i) - (17 – 6i)
Oa - 18i 
Ob 34 - 18i
Oc 34 - 6i
Od -6i
Math
Complex numbers
Add or subtract. Write the answer in standard form. (17-12i) - (17 – 6i) Oa - 18i Ob 34 - 18i Oc 34 - 6i Od -6i
Write z₁ and 22 in polar form. (Express in radians. Let 0 ≤ θ < 2x.)
z₁ = √2-√2i , z2 = 1 - i

z1=
z2 =

Find the product z₁z2 and the quotients z1/z2 and 1/z1. (Express your answers in polar form with expressed in radians.)
z1z2=
z1/z2=
1/z1=
Math
Complex numbers
Write z₁ and 22 in polar form. (Express in radians. Let 0 ≤ θ < 2x.) z₁ = √2-√2i , z2 = 1 - i z1= z2 = Find the product z₁z2 and the quotients z1/z2 and 1/z1. (Express your answers in polar form with expressed in radians.) z1z2= z1/z2= 1/z1=
Given that 3-4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable.
f(x) = x² - 16x³ + 109x²-394x + 600
Math
Complex numbers
Given that 3-4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x) = x² - 16x³ + 109x²-394x + 600
Solve the equation using factoring or the quadratic formula, whichever is appropriate.
a³ - 64 = 0

The real solution for a is 4 where the imaginary solutions are
1 +4 + 4  / 1
Hint: Your input was 4 and(1+-4i4)/1
Math
Complex numbers
Solve the equation using factoring or the quadratic formula, whichever is appropriate. a³ - 64 = 0 The real solution for a is 4 where the imaginary solutions are 1 +4 + 4 / 1 Hint: Your input was 4 and(1+-4i4)/1
Find the quotient 5i / (1 - i) and express it in rectangular form by first converting the numerator and the denominator to trigonometric form.
(Type your answer in the form a+bi. Use integers or fractions for any numbers in the expression)
Math
Complex numbers
Find the quotient 5i / (1 - i) and express it in rectangular form by first converting the numerator and the denominator to trigonometric form. (Type your answer in the form a+bi. Use integers or fractions for any numbers in the expression)
Which of the following represents vector t = -5i + 12j in trigonometric form?
a)t= 13 (cos 67.38°, sin 67.38°)
b)t= 13 (sin 67.38°, cos 67.38°)
c)t= 13 (cos 112.62°, sin 112.62°)
d)t= 13 (sin 112.62°, cos 112.62%)
Math
Complex numbers
Which of the following represents vector t = -5i + 12j in trigonometric form? a)t= 13 (cos 67.38°, sin 67.38°) b)t= 13 (sin 67.38°, cos 67.38°) c)t= 13 (cos 112.62°, sin 112.62°) d)t= 13 (sin 112.62°, cos 112.62%)