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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 claims that the product of any two irrational numbers is always irrational. Which pair of numbers disproves this claim?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA student classifies the number 0.101001000100001... as rational because it contains only the digits 0 and 1. Evaluate this claim correctly.Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA square tile has a side length of 1 metre. What will be the length of its diagonal, and what type of number is it?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves this statement?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsWhich of the following statements correctly describes the decimal expansion of irrational numbers?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsReema says that the decimal number 0.101001000100001... is rational because it uses only the digits 0 and 1. Which is the correct evaluation of her statement?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsWhich of the following numbers has a decimal expansion that is neither terminating nor recurring?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsWhat is the rationalised form of \(\frac{4}{\sqrt{5}}\)?Class 9Number SystemsIrrational numbersLevel 1MediumMathematicsThe area of a square is 18 cm². Which option correctly gives its side length and perimeter?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA student claims that \(\sqrt{2}+\sqrt{8}=\sqrt{10}\) because the numbers inside square roots can be added when adding square roots. Which is the correct evaluation of this claim?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA square garden has an area of 2 square metres. Which statement correctly gives the length of its side and identifies it as rational or irrational?Class 9Number SystemsReal NumbersLevel 1MediumMathematicsA student classifies the number 0.101001000100001… as rational because it contains only the digits 0 and 1. Which is the correct evaluation of the student's conclusion?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsA student says that \(\sqrt{2}+\sqrt{8}\) is a rational number because both terms contain square roots. Which evaluation of this statement is correct?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsHow many irrational numbers are there between any two distinct real numbers?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsIf (3.14159...) is non-terminating and non-repeating, what type of number is it?Class 9Number SystemsIrrational numbersLevel 6EasyMathematicsWhich of the following is an irrational number?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsWhich expression will be obtained in the numerator when the denominator of \(\frac{1}{3-\sqrt{5}}\) is rationalised?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsWhich of the following is the correct form of \(\frac{3}{\sqrt{2}}\) after rationalising the denominator?Class 9Number SystemsReal NumbersLevel 6EasyMathematicsRahul says that \(0.375\) is irrational because it has a decimal point. Which statement correctly explains Rahul’s mistake?Class 9Number SystemsReal NumbersLevel 6Easy

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