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A student writes that \(\sqrt{3}=1.732\), so \(\sqrt{3}\) is rational. What is the correct correction to this statement?एक विद्यार्थी लिखता है कि \(\sqrt{3}=1.732\), इसलिए \(\sqrt{3}\) परिमेय है। इस कथन में सही सुधार क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1.732 is only an approximation; \(\sqrt{3}\) is irrational.1.732 केवल सन्निकट मान है; \(\sqrt{3}\) अपरिमेय है।
1.732 is only an approximate decimal value of \(\sqrt{3}\), not its exact value. In fact, \(1.732^2=2.999824\), not 3. Exam tip: distinguish a terminating approximation from an exact decimal expansion.1.732, \(\sqrt{3}\) का केवल सन्निकट दशमलव मान है, सटीक मान नहीं। वास्तव में \(1.732^2=2.999824\), जो 3 नहीं है। परीक्षा में समाप्त दशमलव और सन्निकट मान में अंतर अवश्य जाँचें।
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