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Number Systems

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

MathematicsIf (s=\sqrt{75}+\sqrt{192}), what is the value of (\frac{s}{\sqrt{3}})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf (t=\sqrt{13}+3), what is the value of (t+\frac{4}{t})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich is the simplified form of (\sqrt{242}+\sqrt{128}-\sqrt{72})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the value of (√(6 + √5) × √(6 + √5))?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich of the following statements correctly describes the relationship between rational and irrational numbers?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the rationalised form of (\frac{5}{\sqrt{12}+\sqrt{7}})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the value of \(\sqrt{5}\left(\sqrt{125}-\sqrt{45}\right)\)?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich condition on two irrational numbers guarantees that their sum is rational?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the value of ((\sqrt{50}+\sqrt{98})^2)?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich is the rationalised form of (\frac{6}{\sqrt{15}-\sqrt{6}})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf \(x\) is an irrational number and \(r\ne 0\) is a rational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhich statement is definitely true about (\sqrt{10+\sqrt{21}})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf \(a\) is an irrational number and \(b\) is a non-zero rational number, which statement about \(a+b\) is always true?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf (x=\sqrt{8}+\sqrt{3}) and (y=\sqrt{8}-\sqrt{3}), what is the value of (\frac{x}{y})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the simplified form of (\frac{\sqrt{5}+2}{\sqrt{5}-2})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf two irrational numbers \(a\) and \(b\) are such that \(a+b\) is rational, which conclusion about \(ab\) is correct?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is the value of (\sqrt{9+\sqrt{20}}\times\sqrt{9+\sqrt{20}})?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsIf (p=\frac{1}{\sqrt{13}+3}), which is the simplified form of (p)?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsWhat is (\sqrt{147}-\sqrt{75}+\sqrt{27}) equal to?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsA student says that every non-terminating decimal number is irrational. Which of the following numbers shows the error in this statement?Class 9Number SystemsIrrational numbersLevel 15Hard