# Calssify Numbers as Real/Rational or Real/Irrational

Can you please also explain how you come up with your answer after doing it. Thanks

1. Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!

a. (3)1/2 + 2i

b. 3.14

c. π

d. (16)1/4 + 6

e. (18)1/3

f. 1/6

g. 6i

h. 3 - (-9)1/2

Rational Number Irrational Number Complex Number

2. a) Select any irrational number, and turn it into a rational number by using addition, subtraction, multiplication, division, or exponentiation.

b) Select any imaginary number (of the form "a + bi" where a and b are non-zero real numbers), and turn it into a real number by using addition, subtraction, multiplication, division, or exponentiation.

Â© BrainMass Inc. brainmass.com March 4, 2021, 9:37 pm ad1c9bdddfhttps://brainmass.com/math/complex-analysis/calssify-numbers-real-rational-real-irrational-258626

#### Solution Preview

Dear student,

Please find the solution in the attached file.

Thanks,

Kavita Narang

1. Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!

a. (3)1/2 + 2i

b. 3.14

c. Ï€

d. (16)1/4 + 6

e. (18)1/3

f. 1/6

g. 6i

h. 3 - (-9)1/2

1. (3)1/2 + 2i is complex since there is an imaginary "i" term

2. 3.14 is rational (assuming that it terminates).

3. Pi

is irrational ...

#### Solution Summary

The solution has all the correct answers with proper details. Enjoy the material and remember my name to restrict postings for me in the system.

Thanks.