SOLUTION: I need to know if my answers are correct. I am to classify each of the problems as real and rational, real and irrational, or imaginary. Are my answers correct? a. (2)^1/2 + 2

Algebra.Com
Question 92696: I need to know if my answers are correct. I am to classify each of the problems as real and rational, real and irrational, or imaginary. Are my answers correct?
a. (2)^1/2 + 2 - Real and rational
b. i - Imaginary
c. 0 - Real and rational
d. 3-(-5)^½ i - Real and imaginary
e. (100)^1/5 – Real and rational
f. 30007 - Real and rational
g. (8)^1/3 - Real and rational
h. 4+0i - Imaginary

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Are my answers correct?
a. (2)^1/2 + 2
Real and irrational because sqrt(2) is irrational
--------------------
b. i - Imaginary
----------------------
c. 0 - Real and rational
-------------------------
d. 3-(-5)^½ i = 3-[i*sqrt(5)*i] = 3+sqrt5
Real and irrational
------------------------
e. (100)^1/5
Real and irrational because 100 is not a perfect 5th power
--------------------------
f. 30007 - Real and rational
---------------------
g. (8)^1/3 - Real and rational
-------------------
h. 4+0i - Imaginary
----------------------
The ones I have not added a 2nd line to are correct.
The others I have corrected.
====================
Cheers,
Stan H.

RELATED QUESTIONS

I need to know how to name the set or sets of numbers that each real number belongs to. I (answered by jim_thompson5910)
Classify the given number as real and rational, real and irrational, or complex.... (answered by rapaljer)
Determine if this is rational or irrational: sqrt 77 This would be rational... (answered by stanbon)
Determine if sqrt 77 and sqrt(-)are irrational or rational. I said that 77 was... (answered by stanbon)
Classify the given numbers as real and rational, real and irrational, or complex.... (answered by user_dude2008)
Hello can you please help me classify the given numbers as real and rational, real and... (answered by stanbon)
Here what the used was only the symbol of pi but I don't know how to write that using... (answered by Nate)
Classify the given number as real and rational, real and irrational, or complex. (80)... (answered by stanbon)
Classify the given number as real and rational, real and irrational, or complex.... (answered by rapaljer)