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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 \\(\frac{\sqrt{18}}{\sqrt{2}}\\) is irrational because it is the quotient of two irrational numbers. Which evaluation is correct?Class 9Number SystemsIrrational numbersLevel 13HardMathematicsRina says, “\(\sqrt{18}\) is rational because 18 is an integer.” Which option correctly identifies her error?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsIf the area of a square is (72) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsWhich is the simplified form of √392?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsWhat is the value of \(\left(\frac{\sqrt{108}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsRiya says that \(\sqrt{n}\) is irrational for every natural number n. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsIf the area of a square is (50) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsWhat is the value of \((\sqrt{54}\div\sqrt{6})\)?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsWhat is the simplified value of \(\left(\frac{\sqrt{112}}{\sqrt{7}}\right)\)?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsWhat is the irrational part in \((6-\sqrt{10})\)?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsFor a natural number \(n\), what is the correct criterion for \(\sqrt{n}\) to be irrational?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsWhich is the simplified form of \((\sqrt{2}+\sqrt{32})\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsIf the area of a square is (18) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the value of \(\sqrt{3}(\sqrt{3}+\sqrt{12})\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhich option has a rational value?Class 9Number SystemsRational numbersLevel 13MediumMathematicsThe area of a square garden is \(18\,\text{m}^2\). Which conclusion about the length of its side is correct?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the value of \(\left(\frac{\sqrt{27}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is (√27 ÷ 3) equal to?Class 9Number SystemsIrrational numbersLevel 18EasyMathematicsWhat is √(16/25) equal to?Class 9Number SystemsIrrational numbersLevel 18EasyMathematicsWhich of these is an irrational number between 1 and 3?Class 9Number SystemsIrrational numbersLevel 18Easy