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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।

MathematicsIn the irrationality proof of (\sqrt{3}), why is (p^2) divisible by (3) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option gives the correct basis for writing (p=3r) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (x) and (y) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich point in the proof of (\sqrt{3}) depends on (3) being prime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsAfter assuming (\sqrt{3}=\frac{p}{q}) and squaring, (p^2=3q^2) is obtained. What is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{3}), after putting (a=3k), which correct conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement creates the actual contradiction in the proof for (\sqrt{3})?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 MathematicsWhich conclusion is correct for all three numbers (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is true in both proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf both (p) and (q) are divisible by (3), what can be said about (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement gives the final conclusion about (q) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof for (\sqrt{3}), if (p=3k), what is (p^2) equal to?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives a proper final sentence for proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf someone writes (p^2=3q^2), therefore (p=3q), why is this wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is correct for (\sqrt{2}) but not directly correct for the usual proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), in what form should (p) be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly states the contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is common to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}) were rational, in which form would it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard