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Sqrt2 Proof

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

MathematicsIn which proof are both (p) and (q) found divisible by (2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhat is the main reason for writing (p) and (q) coprime in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), what follows from (4k^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), which wrong conclusion should not be drawn directly from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), if (p=2k), what is the correct form of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich option is a wrong reason in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn which proof is the prime factor (2) used mainly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{2}), after putting (a=2k), what follows from (4k^2=2b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich rule is repeatedly used in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIf (\sqrt{2}) were rational, in what type of form could it be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{2}), when (a) is even, we write (a=2k). What type of number is (k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhy is it a problem if both (a) and (b) are found even in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{2}), if (a=2k), what is the correct value of (a^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIf (a^2=2b^2), by which number is (a^2) definitely divisible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of irrationality of (\sqrt{2}), after assuming (\sqrt{2}=\frac{a}{b}), what is the next correct step?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhen assuming (\sqrt{2}) to be rational, what is the main reason for writing (p) and (q) as coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIn which proof are both (p) and (q) found even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIn the proof of (\sqrt{2}), after putting (p=2k), what is (p^2) equal to?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIn the proof of (\sqrt{2}), what should not be said directly from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are both even, why can they not be coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy