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Square Roots

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

MathematicsWhich of the following numbers is rational despite containing square-root signs?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhere \(q\) is any rational number, which of the following expressions is guaranteed to be irrational?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsRiya states, “The product of two irrational numbers is always irrational.” Which of the following examples disproves her statement?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student claims that the product of two irrational numbers is always irrational. Which of the following examples disproves the claim?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student says, “The product of two irrational numbers is always irrational.” Which example disproves this statement?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student says that \(\sqrt{12}-\sqrt{3}\) is the difference of two square roots, so it is a rational number. Which is the correct correction of the student's error?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsRiya says that the quotient of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsA student says, “The product of two irrational numbers is always irrational.” Which of the following examples proves this statement wrong?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich of the following options contains only irrational numbers?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich conclusion about the side of a square tile with an area of 50 cm² is correct?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student claims that \(5-\sqrt{7}\) is a rational number. Which argument correctly proves that the claim is wrong?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsIn which option is the difference of two irrational numbers rational?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student claims that \(\frac{\sqrt{18}}{\sqrt{2}}\) must be irrational because both the numerator and denominator are irrational. What is the correct conclusion?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsReema claims that the product of two irrational numbers is always irrational. Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsFor a positive integer \(n\), which criterion correctly determines that \(\sqrt{n}\) is irrational?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the value of √(4 + √7) × √(4 + √7)?Class 9Number SystemsIrrational numbersLevel 14Easy MathematicsA student claims that the quotient of any two irrational numbers is always irrational. Which of the following calculations conclusively proves the claim wrong?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student says that the product of any two irrational numbers is always irrational. Which option correctly evaluates this statement using a a a ?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsRiya claims that the product of any two irrational numbers is always irrational. Which of the following pairs is a counterexample to her claim?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsRiya says that \(\sqrt{45}+\sqrt{5}=\sqrt{50}\). Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersLevel 13Hard