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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 proof for (\sqrt{2}), why is (q) called even after getting (q^2=2k^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option gives the correct basis for divisibility of (b) in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{5}), after (5\mid a) is proved from (a^2=5b^2), (a=5t) is written. What does this indicate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert 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 MathematicsIn the proof for (\sqrt{2}), after getting (q^2=2r^2), why is (q) even?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 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 MathematicsIf (p^2=5q^2) and (5\mid p), after putting (p=5k), what will (q^2) equal?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 MathematicsIf (\sqrt{2}) is rational and (\sqrt{2}=\frac{p}{q}), which equation is obtained after squaring?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}=\frac{p}{q}) and (p=3r), what correct equation follows next?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p^2=5q^2) is obtained, in which form should (p) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium