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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।

MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the sum of \((8+\sqrt{17})\) and \((8-\sqrt{17})\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich is the rationalised form of (\frac{2}{\sqrt{3}+1})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of √3 × (2√3 + 5)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRiya says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the value of (\sqrt{2}(\sqrt{8}+\sqrt{18}))?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the result of (8\sqrt{2}-5\sqrt{2})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified value of \(\left(\frac{\sqrt{112}}{\sqrt{7}}\right)\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich statement is correct about (\sqrt{5}+\sqrt{7})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(4+\sqrt{3}\) is rational because 4 is rational. What is the error in the student's conclusion?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsIf (n) is a positive integer and (n) is a perfect square, what type of number will (\sqrt{n}) be?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct correction to the student’s error?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of (\sqrt{45}+\sqrt{125}-\sqrt{20})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the irrational part in \((6-\sqrt{10})\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich of the following statements about irrational numbers is always true?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the rationalised form of (\frac{3}{\sqrt{7}})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsReema says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich option is an example of an irrational number?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich number lies between (\sqrt{15}) and (\sqrt{20})?Class 9Number SystemsIrrational numbersLevel 14Medium