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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।

MathematicsWhich statement correctly moves from (p^2) to (p) in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18ExpertMathematicsIn 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 17ExpertMathematicsIf (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 16ExpertMathematicsAfter 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 16ExpertMathematicsIf (x^2) is even, what is the correct conclusion about (x)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhy is (p) considered even when (p^2) is even in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIn the proof of (\sqrt{2}), if (a^2) is even, why must (a) be even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17HardMathematicsIn the proof of (\sqrt{2}), after assuming (\sqrt{2}=\frac{a}{b}) in lowest form, (a^2=2b^2) is obtained. Which conclusion comes first according to proof order?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17HardMathematicsWhile proving the irrationality of (\sqrt{2}), if (\sqrt{2}=\frac{p}{q}) is assumed in lowest form, which reasoning from (p^2=2q^2) is most accurate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich statement justifies that (a) is even when (a^2) is even in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18MediumMathematics(\sqrt{2}) is assumed rational and written as (\sqrt{2}=\frac{p}{q}). If (p) and (q) are coprime, what is the correct next conclusion from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17MediumMathematicsA student writes in the proof of (\sqrt{2}) that (p^2) is even so (p) is even. Why is this step correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16MediumMathematicsIn the proof of (\sqrt{2}), if (q^2=2k^2) is obtained, what conclusion follows about (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18EasyMathematicsWhich statement is correct for the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18EasyMathematicsIf (p^2) is divisible by (2), what is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18EasyMathematicsWhich rule is repeatedly used in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17EasyMathematicsWhich fact is used correctly while proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsFrom the equation (p^2=2q^2), what do we learn about (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy