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Perfect Squares

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

MathematicsIn a square root spiral, a student says that the point representing \(\sqrt{10}\) lies between 3 and 4 on the number line. Which evaluation is correct?Class 9Number SystemsSquare root spiralLevel 19MediumMathematicsIn a square root spiral, which of the following lengths represents an irrational number?Class 9Number SystemsSquare root spiralLevel 24EasyMathematicsIn a square root spiral, what type of number is represented by a point whose distance from the origin is \(\sqrt{17}\)?Class 9Number SystemsSquare root spiralLevel 23EasyMathematicsWhich length in a square root spiral is usually irrational?Class 9Number SystemsSquare root spiralLevel 23EasyMathematicsIn a square root spiral, the point representing which number will lie between 3 and 4 on the number line?Class 9Number SystemsSquare root spiralLevel 23EasyMathematicsIn a square root spiral, the line segment representing \(\sqrt{7}\) lies between which two consecutive whole numbers?Class 9Number SystemsSquare root spiralLevel 22EasyMathematicsWhich condition guarantees that the square root of a natural number \(n\) is rational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18ExpertMathematicsWhich of the following integers has a rational square root?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17ExpertMathematicsFor a positive integer \(n\), which condition identifies when \(\sqrt{n}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 65ExpertMathematicsWhat problem appears when a² = 2b² is viewed through prime factors in the proof of √2?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16HardMathematicsFor a positive integer \(n\), which statement correctly identifies when \(\sqrt{n}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsFor a positive integer \(n\), which of the following statements is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16HardMathematicsIf a prime number has an odd exponent in the prime factorisation of a number, what can be concluded about the square root of that number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17MediumMathematicsWhich of the following numbers has an irrational positive square root?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17MediumMathematicsIn which of the following options are both numbers irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16MediumMathematicsWhich of the following numbers has an irrational square root?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20EasyMathematicsA student says, “\(3\) is an integer, so \(\sqrt{3}\) is rational.” What is the main error in this reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20EasyMathematicsWhich of the following options contains only irrational numbers?Class 9Number SystemsIrrational numbersLevel 15HardMathematicsFor a positive integer \(n\), which criterion correctly determines that \(\sqrt{n}\) is irrational?Class 9Number SystemsIrrational numbersLevel 14HardMathematicsRina says, “\(\sqrt{18}\) is rational because 18 is an integer.” Which option correctly identifies her error?Class 9Number SystemsIrrational numbersLevel 15Medium