Asked by Conner
When does the square root of "n" represent a rational number?
a. n is a perfect square
b. n is a positive integer
c. n can be written as a ratio
d. n can be any real number
Which is it and please explain.
a. n is a perfect square
b. n is a positive integer
c. n can be written as a ratio
d. n can be any real number
Which is it and please explain.
Answers
Answered by
Steve
n is a perfect square means that there is a rational number k such that k*k = n
Then k is the square root.
The others are clearly false, since
√5 is not rational
√(3/5) is not rational
Therefore, certainly not (d)
Then k is the square root.
The others are clearly false, since
√5 is not rational
√(3/5) is not rational
Therefore, certainly not (d)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.