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Sqrt5 Proof

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

MathematicsIf (a^2=5b^2), in which form can (a) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17EasyMathematicsWhy are (m) and (n) taken as coprime when (\sqrt{5}) is assumed rational and written as (\sqrt{5}=\frac{m}{n})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17EasyMathematicsIf assuming (\sqrt{n}=\frac{p}{q}) and squaring gives (p^2=nq^2), which proof begins when (n=5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsWhich step is wrong in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsIn which proof are both (p) and (q) found divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsIn the proof of (\sqrt{5}), after putting (p=5k), what is (p^2) equal to?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsIf (p) and (q) are both divisible by (5), what conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsWhich contradiction appears in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsWhat is obtained by putting (p=5k) in (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsIf (p) is divisible by (5), which is the correct form of (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsWhat conclusion follows from the equation (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsIf (\sqrt{5}=\frac{p}{q}), what is obtained after squaring?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16EasyMathematicsWhat is assumed at the beginning to prove that (\sqrt{5}) is irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy