Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

RELATED QUESTIONS

Square Root 3

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsReema says, “The decimal expansion of \(\sqrt{3}\) is infinite, so it is irrational.” What is the flaw in her reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student claims that \(\sqrt{3}=\frac{6}{10}\) because a decimal number close to 3 can be written. What is the error in this claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student writes that \(\sqrt{3}=1.732\), so \(\sqrt{3}\) is rational. What is the correct correction to this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhile proving the irrationality of \(\sqrt{3}\) by contradiction, suppose \(\sqrt{3}=p/q\), where \(p\) and \(q\) are coprime. Which conclusion produces a contradiction to this assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIf (r^2=3s^2), what is true about (r^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIf \(\sqrt{3}\) is assumed to be rational and written as \(\frac{p}{q}\), which condition is necessary for \(p\) and \(q\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsAfter squaring \(\sqrt{3}=\frac{r}{s}\), which equation is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student says, “\(\sqrt{3}=1.732\), so \(\sqrt{3}\) is rational.” What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student writes: “3 is not a perfect square, so \(\sqrt{3}\) is irrational.” What is the most appropriate evaluation of this statement in a question asking to prove the irrationality of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says that \(\sqrt{3}\) is rational because its value is approximately 1.73. Which comment about this statement is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\ne0\), then \(p^2=3q^2\) proves only that \(p\) is divisible by 3. What is the correct next conclusion in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student assumes that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers. On squaring both sides, \(3q^2=p^2\) is obtained. Which conclusion proves the assumption wrong?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says that \(\sqrt{3}\) is rational because 1.732 is a terminating decimal. What is the error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich of the following statements is the correct basis for proving that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIn the contradiction proof for the irrationality of \(\sqrt{3}\), assume that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime. Why is the condition that \(p\) and \(q\) are coprime necessary?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich option gives the correct short order of the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Medium MathematicsWhich statement is the key conclusion in the proof by contradiction that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers, then even if \(p\) is divisible by 3, \(q\) need not be divisible by 3. Why is the statement incorrect?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhen irrationality of \(\sqrt{3}\) is proved, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student claims that \(\sqrt{3}=\frac{26}{15}\). Which of the following checks immediately proves that this claim is false?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy