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Number Systems

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich is the simplified form of (\frac{2+\sqrt{3}}{2-\sqrt{3}})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student says, “The sum of two irrational numbers can never be rational.” Which of the following pairs proves this statement wrong?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student says that the decimal number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly identifies the student's error?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich of the following numbers has a decimal expansion that indicates it is an irrational number?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the simplified value of (\frac{\sqrt{98}-\sqrt{18}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is irrational between (0.414141\ldots) and (0.4141141114\ldots)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsIf a = √8 − √2, what is a equal to?Class 9Number SystemsIrrational numbersLevel 15Easy MathematicsWhich is the rationalised form of (\frac{4}{\sqrt{3}+1})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsRina says, “\(\sqrt{18}\) is rational because 18 is an integer.” Which option correctly identifies her error?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsIf x = √12 + 2√3, what is the simplified form of x?Class 9Number SystemsIrrational numbersLevel 15Easy MathematicsA student claims that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. Which statement correctly corrects the student's claim?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student claims that every non-terminating decimal number is irrational. Which of the following numbers is a counterexample to the claim?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student says that every non-terminating decimal expansion is irrational. Which of the following numbers disproves the statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the simplified form of (4\sqrt{11}+3\sqrt{44})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich statement is correct about (\sqrt{8}+\sqrt{200}) and (12\sqrt{2})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the rationalised form of 1/(6 − √5)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsIf the area of a square is (72) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which conclusion about this statement is correct?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat type of number is (\sqrt{6}\times\sqrt{24})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsTo construct (\sqrt{10}) on the number line, which right triangle hypotenuse can be used?Class 9Number SystemsIrrational numbersLevel 15Medium