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

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (\sqrt{3}) is assumed rational and written as (\sqrt{3}=\frac{p}{q}), where (p) and (q) are coprime, where does the contradiction arise?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhat is the best exam formula for proving irrationality of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option correctly explains proof by contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhat is the best exam tip related to the irrationality of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich statement shows that the proof of irrationality of (\sqrt{2}) is not based on decimals?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich structure remains common in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsAfter assuming (\sqrt{2}=\frac{p}{q}) in lowest form and getting (p^2=2q^2), why is it correct to write (p=2k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhat main exam lesson is learned from the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement correctly relates perfect squares and irrational square roots?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}), in what form is the rational assumption taken?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich general statement applies to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (\sqrt{5}=\frac{x}{y}) and (x,y) are coprime, which conclusion follows immediately from (x^2=5y^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhen (\sqrt{3}) is assumed rational and written as (\sqrt{3}=\frac{a}{b}), why are (a) and (b) taken coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (\sqrt{2}=\frac{p}{q}) is assumed in lowest form and (p^2=2q^2) is obtained, what is the most precise reason that (p) is even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option best expresses the main idea behind the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich type of proof is most commonly used to prove the irrationality of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option is a correct example of an irrational square root because it is not a perfect square?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly explains proof by contradiction in irrationality proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (r) is prime and (r\mid x^2), what conclusion is used in proving the irrationality of (\sqrt{r})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich type of square root is proved irrational in proofs like those for (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard