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

Irrationality Proof

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

MathematicsIf (u^2=3v^2) and (u=3t), what is the combined conclusion about (u) and (v)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard MathematicsIn which situation does the real contradiction in the proof of (\sqrt{2}) occur?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard MathematicsIf (\sqrt{3}=\frac{u}{v}) is assumed in lowest form and (u^2=3v^2) is obtained, why is it correct to write (u=3k)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard MathematicsA student assumes \(\sqrt{3}=\frac{a}{b}\), where \(a,b\) are coprime positive integers. From \(a^2=3b^2\), the student concludes that 3 divides \(a\). Which rule justifies this conclusion?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of \(\sqrt{2}\), if a student ends the proof after only writing \(a\) is even, what is the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf (p^2=3q^2) and (p=3k), what combined conclusion about (p) and (q) follows from (q^2=3k^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf (a^2=2b^2) and (a=2r), what combined conclusion about (a) and (b) follows from (b^2=2r^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), which conclusion alone is not sufficient but is the first step toward final contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich statement creates the actual contradiction with the coprime condition in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf n² is divisible by 3 for an integer n, which statement about n must be true?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhat caution is necessary while proving the irrationality of √2 and √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich option shows the correct cause-effect relation used in the proof of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsA student believes that the statement “If the square of an integer is divisible by 3, then the integer is also divisible by 3” is false. Which statement correctly removes this misconception?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhat is the correct combined conclusion of the proofs of both (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich statement is a wrong conclusion in the proof of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhat is the main reason for assuming (\sqrt{3}=\frac{p}{q}) in lowest form?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich option gives the correct final argument in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIn the proof of (\sqrt{3}), if after taking (p=3k) we get (q^2=3k^2), which conclusion does it lead to?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIn the proof of √2, if after taking a = 2r we get b² = 2r², what does it prove next?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsWhich option is the correct final statement for both (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium