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Laabri

Complex Numbers

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Last updated over 7 years ago
22 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Given the general form of a complex number, a+bi, (1) what is considered the real part of the complex number and (2) what is considered the imaginary part?

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2.

Given 3+4i, (1) what is the real part and (2) what is the imaginary part of the complex number?

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3.

Given 5+34i, (1) what is the imaginary part and (2) what is the real part of the complex number?

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4.

Given 15+i, (1) what is the real part and (2) what is the imaginary part of the complex number?

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5.

i²=

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6.

i³=

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7.

i4=

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8.

i5=

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9.

Simplify 4i2+2i+13.

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10.

Explain your process in simplifying the expression in Question 9.

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11.

Multiply (2+3i)(4+6i) and show the product in simpliest form.

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12.

Explain your process in multiplying and reducing in Question 11.

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13.

Multiply the two complex numbers (2-5i2)(7+3i) and show the product in simpliest form.

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14.

The conjugate of 5+8i is 5+8i.

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15.

The conjugate of a complex number involves the same real and imaginary part but changes the sign between them.

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16.

These two complex numbers are conjugates: (3+8i) and (3-8i).

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17.

The conjugate of 1+6i is 6+1i.

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18.

The conjugate of 4+i is _______.

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19.

What is the modulus if z= 7+9i. (Reduce to the simplest form)

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20.

Explain what steps you went through in Question 19 to find the modulus.

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21.

Use what we know about conjugates to simplify the following: (1+4i)/(9-5i)

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22.

Explain how you simplified the expression in Question 21.