Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
is the square root of ab rational or irrationalAsked by @_@
is the square root of 78 rational or inrrational
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The square root of 78 is irrational.
To determine whether a number is rational or irrational, we can consider its prime factorization. The prime factors of 78 are \(2 \times 3 \times 13\). Since 78 is not a perfect square (it cannot be expressed as \(n^2\) for some integer \(n\)), its square root cannot be expressed as a fraction of two integers.
Therefore, \(\sqrt{78}\) is irrational.
To determine whether a number is rational or irrational, we can consider its prime factorization. The prime factors of 78 are \(2 \times 3 \times 13\). Since 78 is not a perfect square (it cannot be expressed as \(n^2\) for some integer \(n\)), its square root cannot be expressed as a fraction of two integers.
Therefore, \(\sqrt{78}\) is irrational.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.