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Prime Factor

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

MathematicsIf (\sqrt{5}) is assumed to be (\frac{p}{q}) where (p) and (q) are coprime, what creates the contradiction?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf the reduced denominator contains the factor (17), what type of decimal expansion will occur?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Medium MathematicsIf the reduced denominator still has the factor (3), what type of decimal expansion will the rational number have?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Medium MathematicsWhat type of decimal expansion will (\frac{26}{143}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsIf a fraction is in lowest form, which denominator will give a non-terminating recurring decimal?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Easy MathematicsIn the proof for (\sqrt{3}), the conclusion (3\mid a) from (3\mid a^2) is based on which principle?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (5\mid x^2), why is (5\mid x) concluded?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof of irrationality of (\sqrt{5}), why does (a^2=5b^2) imply that (a) is divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (a^2) is divisible by (5), what conclusion about (a) is correct in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich deeper idea is common in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich idea works similarly in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich prime factor plays the main role in proving (\sqrt{3}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn which proof is the prime factor (5) used mainly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn which proof is the prime factor (3) used mainly?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 MathematicsWhich statement is useful in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are coprime integers and (\sqrt{5}=\frac{p}{q}) is assumed, in what form does the contradiction appear?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (p) is a prime number, which main idea is used to prove that (\sqrt{p}) is irrational?Class 10Real NumbersIrrational numbersLevel 13Expert