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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{5}), if someone writes (a=25k) from (5\mid a^2), what is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{3}) were rational, what impossible situation would appear at the end of the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{2}), (p^2=2q^2) shows (p^2) is even. If (p) is assumed odd, what problem occurs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich statement starts the proof of irrationality of (\sqrt{5}) most clearly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), after putting (p=3k), (9k^2=3q^2) is obtained. What is the correct simplification?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (n) is an odd integer, then (n^2) is odd. This fact is especially useful in which proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{5}), what is the correct intermediate conclusion needed to write (a=5k) from (a^2=5b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option gives the correct basis for proving (q) even in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf both (p) and (q) are found divisible by (3) in proving (\sqrt{3}) irrational, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{5}), while writing (5\mid b) from (5\mid b^2), what must be added?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich conclusion should be written at the very end of the proof of irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), what is the simple reason that (p^2) is divisible by (3)?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 MathematicsIn the proof for (\sqrt{5}), putting (a=5k) gives (25k^2=5b^2). What will (b^2) be?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf someone says (\sqrt{2}) is irrational because (2) is not a perfect square, what correction is appropriate at expert level?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich idea is common in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert 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 MathematicsIf assuming (\sqrt{5}) rational gives (a^2=5b^2), which statement about (a^2) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option gives the most appropriate final sentence for the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhile writing the proof for (\sqrt{2}), if someone assumes (\sqrt{2}=\frac{p}{q}) but does not mention lowest form, what problem occurs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert