Question
is negative square root of 5 irrational
Answers
GPT-4o mini
Yes, the negative square root of 5, denoted as \(-\sqrt{5}\), is indeed irrational.
The square root of 5 itself is irrational because it cannot be expressed as a fraction of two integers. Since the property of being irrational is not affected by negation, \(-\sqrt{5}\) is also irrational. Therefore, both \(\sqrt{5}\) and \(-\sqrt{5}\) are irrational numbers.
The square root of 5 itself is irrational because it cannot be expressed as a fraction of two integers. Since the property of being irrational is not affected by negation, \(-\sqrt{5}\) is also irrational. Therefore, both \(\sqrt{5}\) and \(-\sqrt{5}\) are irrational numbers.