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Sqrt2

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf from (p^2=2q^2), (p=2k) and then (q=2r) are obtained, which proof does this complete?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich 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 18Medium MathematicsIf a student stops at only (p^2=2q^2) while proving (\sqrt{2}) irrational, why is the proof incomplete?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhich statement correctly explains why (q\neq 0) is needed in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsA 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 16Medium MathematicsIf (\sqrt{2}) were rational, what conclusion follows if both (p) and (q) are found even in lowest form (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich option gives the correct order of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), after (p) is found even, what type of number is (k) in (p=2k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf (\sqrt{2}) is rational, in which form can it be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf both (p) and (q) are found even, why can they not be coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf (p^2) is divisible by (2), what is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhat opposite assumption is taken while proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), if both (a) and (b) are even, what is at least one common factor of them?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich statement shows the correct order for the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich statement comes first in the proof sequence of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich of the following is not a perfect square and its square root is proved irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the correct final conclusion of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are coprime positive integers and (\sqrt{2}=\frac{p}{q}) is assumed then where does the contradiction arise?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhat is the simplified form of (\frac{4}{\sqrt{2}}) with a rational denominator?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of (\sqrt{18}+\sqrt{72}+\sqrt{162})?Class 10Real NumbersIrrational numbersLevel 14Medium