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

MathematicsIf a student writes (\sqrt{5}=\frac{5}{1}), what is the most correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsAfter assuming (\sqrt{5}) rational, which sequence is most correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (p^2=5q^2) and (p=5t), which final conclusion about (q) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (\sqrt{5}) is rational, how should it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhile proving (\sqrt{5}) irrational, after putting (x=5m), what is needed to conclude about (y)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (5\mid x^2), why is (5\mid x) concluded?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (\sqrt{5}=\frac{x}{y}) and (x,y) are coprime, which conclusion follows immediately from (x^2=5y^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich conclusion is correct for all three numbers (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich option is a wrong conclusion in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich statement is true in both proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhy is (5\mid b) concluded from (5\mid b^2) in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich option is a correct example of an irrational square root because it is not a perfect square?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich option clearly shows that assuming (\sqrt{5}) rational is wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIf (p^2=5q^2) and (5\mid p), after putting (p=5k), what will (q^2) equal?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIf (p) and (q) are coprime, which of the following is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhat is the first assumption made while proving the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIn the proof for (\sqrt{5}), if both (a) and (b) turn out divisible by (5), what conclusion is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIn 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 18HardMathematicsWhich statement is common to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich option gives the correct order of proof for the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard