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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 (\alpha+\beta=10) and (\alpha\beta=21), which conjugate irrational pair is possible?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhich option incorrectly simplifies an irrational number as if it were rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (p) and (q) are rational numbers and (p+q\sqrt{5}) is rational, what is true about (q)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhich option is a correct counterexample showing that the sum of two irrational numbers is not always irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\sqrt{a}+\sqrt{b}) is rational and (a,b) are distinct prime numbers, which conclusion is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (x=\sqrt{2}) is a zero of (ax^2+bx+c) and (a,b,c) are rational, which conclusion cannot be correct?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (\sqrt{2}+x) is a rational number and (x) is a real number, which statement about (x) is definitely true?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf zeroes of (x^2-2ax+(a^2-5)=0) are (a+\sqrt{5}) and (a-\sqrt{5}), why is it correct?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsWhich option correctly compares (\sqrt{2}+\sqrt{3}) and (\sqrt{5})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option makes (8-\sqrt{m}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (\sqrt{m}=a), where (a) is rational and (m) is a positive integer, what is necessary for (m)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (n) is a positive integer and (\sqrt{n}) is irrational, when will (\sqrt{4n}) be rational?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option definitely describes the nature of (\sqrt{3+\sqrt{5}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option makes (12-\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich option makes (4+\sqrt{m}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich option makes (5+\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsWhich option makes (9-\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsWhich option makes (2+\sqrt{m}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf (\sqrt{k}) is irrational and (k) is a positive integer, what is correct about (k)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf (2+\sqrt{m}) is irrational and (m) is a positive integer, which (m) can be correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium