Which of the following is an irrational number?

√2 is irrational because it cannot be expressed as a ratio of two integers (p/q form). Its decimal expansion is non-terminating and non-repeating: 1.41421356... This was first proved by the ancient Greeks using proof by contradiction. Remember: a number is irrational if its decimal neither terminates nor repeats.

Which of the following is an irrational number?

The correct answer is C. √2 is irrational because it cannot be expressed as a ratio of two integers (p/q form). Its decimal expansion is non-terminating and non-repeating: 1.41421356... This was first proved by the ancient Greeks using proof by contradiction. Remember: a number is irrational if its decimal neither terminates nor repeats.

निम्नलिखित में से कौन सी एक अपरिमेय संख्या है?

उत्तर: C — √2 अपरिमेय है क्योंकि इसे दो पूर्णांकों के अनुपात (p/q रूप) में व्यक्त नहीं किया जा सकता। इसका दशमलव प्रसार अनंत और अनावर्ती है: 1.41421356... याद रखें: कोई संख्या अपरिमेय है यदि उसका दशमलव न तो समाप्...