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Rational Form

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

MathematicsIf (0.0\overline{6}) is written as (\frac{p}{q}) in lowest form, what is (q)?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Hard MathematicsWhich statement starts the proof of irrationality of (\sqrt{5}) most clearly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhy is it necessary to write (q\neq0) while proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{5}) is assumed rational as (\sqrt{5}=\frac{a}{b}), which condition about (a) and (b) is essential for the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhile taking (x) and (y) coprime in the proof for (\sqrt{5}), what must be kept in mind?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 MathematicsWhy is the condition (q\neq0) necessary in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}), in what form is the rational assumption taken?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (\sqrt{5}) is rational, how should it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf a student does not write (q\neq0) while proving (\sqrt{2}) irrational, what is missing?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}) were rational, in which form would it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}) were rational, how would it be written in lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium 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 MathematicsWhich condition is necessary while writing (\sqrt{3}=\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhy 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 17Easy MathematicsIf (\sqrt{3}=\frac{a}{b}), where (a) and (b) are coprime, which condition about (b) is necessary?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}), what type of numbers are (p) and (q) taken to be?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhy is (q\neq 0) necessary in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhy are (p) and (q) assumed to be coprime in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (\sqrt{3}) is assumed rational, in which form is it written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy