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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।

MathematicsIn the proof for (\sqrt{3}), after putting (a=3m), into what form does (a^2=3b^2) change?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (\sqrt{5}) is assumed rational and written as (\sqrt{5}=\frac{x}{y}), which algebraic step correctly leads to (x^2=5y^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsAssuming (\sqrt{5}) rational gives (p^2=5q^2). If (p=5r), which simplification is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{3}), if (p=3r), what is the correct value of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof of irrationality of (\sqrt{2}), after putting (p=2r), which equation is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert 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^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 MathematicsIn the proof of (\sqrt{3}), after putting (p=3k), which middle equation is correct from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{3}), after putting (p=3k), how does (p^2=3q^2) change?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{3}), if (p=3k), what is the correct value of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{2}), after putting (p=2k), which equation follows from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{2}), if (p=2r), how does (p^2=2q^2) change?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), if (p=5k), what will (p^2) be?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{2}), if (p=2k), what is the correct form of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn the proof of (\sqrt{5}), if (a=5k), what is the correct value of (a^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIf (x=\sqrt{3}+\sqrt{2}), what is the value of (x^4-10x^2+1)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{2}), what is the value of (x^4-4x^2+4)?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhat is the value of \(\left(\sqrt{11}+2\right)^2\)?Class 10Real NumbersIrrational numbersLevel 15Medium MathematicsWhat is the value of \(\left(\sqrt{7}+1\right)^2\)?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsWhat is the value of \(\left(\sqrt{5}+2\right)^2\)?Class 10Real NumbersIrrational numbersLevel 13Medium