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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।

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 numbersHard 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 numbersHard MathematicsRiya says that \(\sqrt{45}+\sqrt{5}=\sqrt{50}\). Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersHard MathematicsA student says that \\(\frac{\sqrt{18}}{\sqrt{2}}\\) is irrational because it is the quotient of two irrational numbers. Which evaluation is correct?Class 9Number SystemsIrrational numbersHard MathematicsRina says, “\(\sqrt{18}\) is rational because 18 is an integer.” Which option correctly identifies her error?Class 9Number SystemsIrrational numbersMedium MathematicsIf the area of a square is (72) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersMedium MathematicsWhich is the simplified form of √392?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the value of \(\left(\frac{\sqrt{108}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersMedium MathematicsRiya says that \(\sqrt{n}\) is irrational for every natural number n. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersMedium MathematicsIf the area of a square is (50) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the value of \((\sqrt{54}\div\sqrt{6})\)?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the simplified value of \(\left(\frac{\sqrt{112}}{\sqrt{7}}\right)\)?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the irrational part in \((6-\sqrt{10})\)?Class 9Number SystemsIrrational numbersMedium MathematicsFor a natural number \(n\), what is the correct criterion for \(\sqrt{n}\) to be irrational?Class 9Number SystemsIrrational numbersMedium MathematicsWhich is the simplified form of \((\sqrt{2}+\sqrt{32})\)?Class 9Number SystemsIrrational numbersMedium MathematicsIf the area of a square is (18) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the value of \(\sqrt{3}(\sqrt{3}+\sqrt{12})\)?Class 9Number SystemsIrrational numbersMedium MathematicsWhich option has a rational value?Class 9Number SystemsRational numbersMedium MathematicsThe area of a square garden is \(18\,\text{m}^2\). Which conclusion about the length of its side is correct?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the value of \(\left(\frac{\sqrt{27}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersMedium