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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।

MathematicsWhich statement is correct for (\sqrt{2}) but not directly correct for the usual proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), in what form should (p) be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn which situation can (\frac{p}{q}) not be called lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard 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 (\sqrt{2}) is rational and (\sqrt{2}=\frac{p}{q}), which equation is obtained after squaring?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly states the contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is common to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?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 MathematicsWhy is (p) considered even when (p^2) is even in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives the correct order of proof for the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (r) is prime and (r\mid x^2), what conclusion is used in proving the irrationality of (\sqrt{r})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option is an incorrect step in the proof of (\sqrt{2}) being irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof for (\sqrt{5}), if (a=5k), what is proved about (b)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}=\frac{p}{q}) and (p=3r), what correct equation follows next?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich type of square root is proved irrational in proofs like those for (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsAfter assuming (\sqrt{2}) rational and writing (p^2=2q^2), which condition must not be forgotten?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 argument directly proves that (\sqrt{3}) cannot be rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhy is it necessary to take (\frac{p}{q}) in lowest form while proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf a student writes that (\sqrt{5}) is rational because (5) is a whole number, what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard