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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।

MathematicsWhy 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 18Hard MathematicsWhich option best expresses the main idea behind the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf both (p) and (q) are divisible by (3), what can be said about (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich type of proof is most commonly used to prove the irrationality of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement gives the final conclusion about (q) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard 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 MathematicsWhich 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 18Hard MathematicsWhich option clearly shows that assuming (\sqrt{5}) rational is wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof for (\sqrt{3}), if (p=3k), what is (p^2) equal to?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p,q) are coprime in (\sqrt{2}=\frac{p}{q}), what does it indicate when both (p) and (q) turn out even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly explains proof by contradiction in irrationality proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich property in the proof of (\sqrt{2}) is directly connected with (2) being prime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (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 18Hard MathematicsWhich option gives a proper final sentence for proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p) and (q) are coprime, which of the following is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is correct if (n) is an odd integer?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhat is the first assumption made while proving the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf someone writes (p^2=3q^2), therefore (p=3q), why is this wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives the correct contradictory result after assuming (\sqrt{2}) rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn 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 18Hard