1.3 Hw Q's Math
The imaginary unit i^2 is defined as i^2 =
-1
Multiply. √-3 x √-3 =
-3
Perform the indicated operations. (4 - 6 i)(9 + i)
42 - 50 i
Write the number as the product of a real number and i: √-112 =
4√7 i
Subtract and simplify. (4 + 3i) - (-1 - i)
5 + 4 i
Divide. 9 + 8i / 1 + 6i
57/37 - 46i/37
Write the number as the product of a real number and i: √-36 =
6i
Find the quotient. Write the answer in standard form a + bi. -8/i
8i
The numbers 6 + 5i and 6 - 5i, which differ only in the sign of their imaginary parts are
complex conjugates
If a and b are real numbers, then any number of the form a + bi is a(n)
complex number
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 9
complex, real
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 𝝅
complex, real
To find the quotient of two complex numbers in standard form, multiply both the numerator and the denominator by the complex conjugate of the
denominator
Decide whether the given statement is true or false. If false, correct the right side of the equation. ( -5 + 7i) - (-10 - 6i) = - 15 + i
false, - 15 + 13 i
Decide whether the given statement is true or false. If false, correct the right side of the equation. (9 + 5 i)^2 = 56
false, 56 + 90 i
Simplify. i^33
i
Add and simplify. (4 + 3i)(5 - 2i)
i + 9
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) 2 + 4 i
nonreal complex, complex
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions may apply.) √-4
nonreal complex, complex, pure imaginary
Identify the number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.) 9i
nonreal complex, pure imaginary, complex
The product of a complex number and its conjugate is always a(n)
real number
Decide whether the given statement is true or false. If false, correct the right side of the equation. t^12 = 1
true
Decide whether the given statement is true or false. If false, correct the right side of the equation. √-144 = 12i
true
Decide whether the given statement is true or false. If false, correct the right side of the equation. √-9 x √-25 = - 15
true
The imaginary unit i is defined as i =
√-1
Divide. √-567/√-81 =
√7