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Irrational Numbers

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

MathematicsWhich number lies between (3) and (4)?Class 9Number SystemsNumber lineLevel 19Expert MathematicsWhich of the following conditions guarantees that \(x\) is irrational?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich of the following numbers is irrational, yet can be represented by a unique point on the number line?Class 9Number SystemsNumber lineLevel 19Expert MathematicsIf \(\sqrt{x}\) is irrational and (5) is rational, what type of number will \(5\sqrt{x}\) generally be when (5\ne0)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhat is the simplest form of \(\sqrt{27}+\sqrt{12}-\sqrt{3}\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsIf \(x=2+\sqrt{3}\), what type of number is (x)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhat type of number is the decimal \(0.101001000100001\ldots\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich number is greater than \(\sqrt{10}\) and less than \(\sqrt{17}\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich statement about \((\sqrt{2}+\sqrt{8})\) is correct?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsIf r is a rational number, what type of number is \(r+\sqrt{2}\)?Class 9Number SystemsGeneral chapter practiceLevel 19Expert MathematicsA student says, “If the decimal expansion of a rational number is non-terminating, then the number is irrational.” Which of the following numbers most clearly shows the error in this statement?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich number can be written in the form \(\frac{p}{q}\), where (p) and (q) are integers and (q\ne0)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsWhich option is correct about the sum of a rational and an irrational number?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich of the following pairs contains two irrational numbers whose sum is rational?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich statement about real numbers is correct?Class 9Number SystemsGeneral chapter practiceLevel 19Expert MathematicsWhich option is correct about \(\sqrt{3}\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhat type of number is the product of \(\sqrt{2}\) and \(\sqrt{8}\)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following calculations gives a counterexample to the claim?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsBefore placing \(\sqrt{10199}\) on the number line using a square root spiral, which interval is correct?Class 9Number SystemsSquare root spiralLevel 21Hard