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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।

MathematicsIf someone says (\sqrt{2}) is irrational because (2) is even, what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{2}), when both (p) and (q) turn out even, which initial statement is proved false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{2}), if both (p) and (q) are even, by which number can the fraction be further reduced?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf someone writes (q^2=4k^2) after putting (p=2k) in (p^2=2q^2), where is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option directly conflicts with (p) and (q) being coprime in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich opening sentence is most complete for proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf the square of an integer (n) is even, then (n) is even. How many times is this fact used in the proof for (\sqrt{2})?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 MathematicsIn the proof for (\sqrt{2}), when both (p) and (q) are proved even, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option is the most serious error in the proof of irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{2}), after getting (q^2=2k^2), which conclusion helps complete the proof?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 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 MathematicsWhich part of the proof of irrationality of (\sqrt{2}) shows proof by contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option gives the correct final sentence for proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (2\mid q^2), what conclusion about (q) is taken in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement shows that (\sqrt{2}) cannot be an integer?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement would weaken the proof of (\sqrt{2}) the most?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsAfter assuming (\sqrt{2}) rational, (2q^2=p^2) is written. What is the correct use of this equation?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (p) and (q) are coprime and then (2\mid p), (2\mid q) are proved, what type of result is this?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert