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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 (\sqrt{5}=\frac{p}{q}), which equation is obtained after squaring both sides?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich assumption is taken first to prove that (\sqrt{2}) is irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich option proves that (\frac{3}{2}+\sqrt{5}) is irrational?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (x=\sqrt{10}) then what type of number is (x^2)?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (x=3+\sqrt{2}) then what is true about (x)?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (a) is a rational number and (a\neq 0) then which conclusion about (a\sqrt{3}) is correct?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (\sqrt{m}+\sqrt{n}=7) and (m,n) are positive integers, which pair is definitely possible?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{7}+\sqrt{28}), what is the value of (\frac{x^2}{7})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (a=3+\sqrt{2}), what is the nature of (a)?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIn which option are both numbers irrational but their product is rational?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIf (p) is a non-zero rational number and (q) is an irrational number, which statement about (pq) is correct?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsA number leaves remainders (63), (81), and (117) when divided by (72), (90), and (126) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsThe HCF of two numbers is (54) and their LCM is (4158). If one number is (378), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsWhat is the greatest number that leaves remainder (16) when dividing (736), (1136), and (1536)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf the HCF of two numbers is (84) and their LCM is (4620), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (L) is the LCM of (2^6\times3^2\times5), (2^4\times3^5\times7), and (2^2\times5^2\times13), how many distinct prime factors will (L) have?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (H) and (L) are respectively the HCF and LCM of (420), (660), and (924), what is (L\div H)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (H) is the HCF and (L) is the LCM of (2^8\times3^3\times5^2) and (2^5\times3^7\times5), what is (\frac{L}{H})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsThe HCF of two numbers is (90) and their LCM is (6930). If the numbers are taken as (90r) and (90s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (H) is the HCF of (221), (323), and (391), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert