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Irrational Sum

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich statement about the position of ( \sqrt{2}+\sqrt{3} ) on the number line is correct?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Hard 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 MathematicsIn which option is the sum of two irrational numbers rational?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 (\sqrt{2}) and (\sqrt{3}) are zeroes of a quadratic polynomial, what type of coefficients will that polynomial have?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsWhich option describes the nature of (\sqrt{289}+\sqrt{290})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option shows that adding an irrational number to an irrational number can give a rational result?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option helps show that the claim (\sqrt{2}+\sqrt{3}+\sqrt{6}) is rational is false?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIn which option is (\sqrt{a}+\sqrt{b}) irrational but ((\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})) rational?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{3}) and (y=2\sqrt{3}), which statement about (x+y) is correct?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIf (z=8+\sqrt{11}), what is the nature of (z)?Class 10Real NumbersIrrational numbersLevel 15Medium MathematicsWhich pair has two irrational numbers whose sum is rational?Class 10Real NumbersIrrational numbersLevel 15Medium MathematicsIf (z=6+\sqrt{5}), what is the nature of (z)?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsWhich pair has two irrational numbers whose sum is rational?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsIf (a=5+\sqrt{2}), what is the nature of (a)?Class 10Real NumbersIrrational numbersLevel 13Medium MathematicsWhich statement is false?Class 10Real NumbersIrrational numbersLevel 13Medium MathematicsWhich pair consists of two irrational numbers whose sum is rational?Class 10Real NumbersIrrational numbersLevel 13Medium MathematicsWhich statement is correct about (\sqrt{7}+4)?Class 10Real NumbersIrrational numbersLevel 15Easy MathematicsWhich statement is correct about (\sqrt{2}+5)?Class 10Real NumbersIrrational numbersLevel 14Easy MathematicsWhich statement is correct about (\sqrt{2}+\sqrt{3})?Class 10Real NumbersIrrational numbersLevel 13Easy