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

MathematicsWhy is the assumption (\sqrt{3}=\frac{m}{n}) finally proved wrong when (m,n) are taken coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof that (\sqrt{2}) is irrational, what conclusion is obtained after putting (p=2k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{5}=\frac{a}{b}) and (a,b) are coprime, what is the first correct conclusion from (a^2=5b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is most essential in proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{2}) is assumed rational and written as (\sqrt{2}=\frac{p}{q}), where (p) and (q) are coprime, where does the contradiction mainly come from?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof of (\sqrt{5}), if finally (p=5m) and (q=5n) are obtained, what is the most accurate comment on the lowest form of (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsHow can (p^2=3q^2) in the proof of (\sqrt{3}) be understood using exponents of prime factors?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), (a) has been proved even and (\frac{a}{b}) is in lowest form. What is the most correct next step?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option gives the correct common structure of the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhile writing the final line in all three proofs, which sentence is the safest?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), which statement should come just before the final contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), what type of error is directly writing (a=2b) from (a^2=2b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option is the correct correction of the wrong argument that (\sqrt{5}) is rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{3}), which statement is correct but not the final conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a=2m) and (b=2n), what does this go against?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option shows the correct route to prove (q) divisible by (5) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich statement is the biggest common misconception in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhat is the purpose of substituting (p=3k) in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option gives a true statement with a wrong reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a=2k) is obtained from (a^2=2b^2), what is true about (k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard