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Hotmath Practice Problems

Title:

Hotmath Algebra 2

Author:

Hotmath Team

Free

Chapter:Quadratic EquationsSection:Complex Conjugates and Multiplicative Inverses

Problem: 1

Write the conjugate of the complex number.

19 + i

Problem: 3

Write the conjugate of the complex number.

32 – 5i

Problem: 5

Write the conjugate of the complex number.

Problem: 7

Find the product of the complex number and its conjugate.

7 – 6i

Problem: 9

Find the product and conjugate of the complex number.

6 – 3i

Problem: 11

Express as a complex number in standard form.

Problem: 13

Express as a complex number in standard form.

Problem: 15

Express as a complex number in standard form.

Problem: 17

Express as a complex number in standard form.

Problem: 19

Express as a complex number in standard form.

Problem: 21

Express as a complex number in standard form.

Problem: 23

Express as a complex number in standard form.

Problem: 25

Express as a complex number in standard form.

Problem: 27

Find the multiplicative inverse of the complex number.

4 – 3i

Problem: 29

Find the multiplicative inverse of the complex number.

–8 + i

Problem: 31

Find the multiplicative inverse of the complex number.

m + ni

Problem: 33

Show that

is a square root of i.

Problem: 35

Show that the shown conjugates are also reciprocals.

Problem: 1

Write the conjugate of the complex number.

19 + i

Problem: 3

Write the conjugate of the complex number.

32 – 5i

Problem: 5

Write the conjugate of the complex number.

Problem: 7

Find the product of the complex number and its conjugate.

7 – 6i

Problem: 9

Find the product and conjugate of the complex number.

6 – 3i

Problem: 11

Express as a complex number in standard form.

Problem: 13

Express as a complex number in standard form.

Problem: 15

Express as a complex number in standard form.

Problem: 17

Express as a complex number in standard form.

Problem: 19

Express as a complex number in standard form.

Problem: 21

Express as a complex number in standard form.

Problem: 23

Express as a complex number in standard form.

Problem: 25

Express as a complex number in standard form.

Problem: 27

Find the multiplicative inverse of the complex number.

4 – 3i

Problem: 29

Find the multiplicative inverse of the complex number.

–8 + i

Problem: 31

Find the multiplicative inverse of the complex number.

m + ni

Problem: 33

Show that

is a square root of i.

Problem: 35

Show that the shown conjugates are also reciprocals.