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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।

MathematicsA student says that if the decimal expansion of a number is non-terminating, then the number must be irrational. Which example disproves this statement?Class 9Number SystemsReal NumbersHard MathematicsWhat is the simplified form of (\sqrt{12}+\sqrt{27})?Class 9Number SystemsReal NumbersHard Mathematics(0.272727\ldots) is what type of number?Class 9Number SystemsRational numbersHard Mathematics(3+√2) belongs to which set?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that if the decimal expansion of a number is non-terminating and non-repeating, then the number is irrational. What is the correct analysis of this statement?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of (1/(3+√8)+1/(3−√8))?Class 9Number SystemsIrrational numbersHard MathematicsWhat is the correct statement about ( \sqrt{36}+\sqrt{49} ) and ( \sqrt{85} )?Class 9Number SystemsReal NumbersHard MathematicsWhich example shows that \(\sqrt{a+b}=\sqrt a+\sqrt b\) is false?Class 9Number SystemsReal NumbersMedium MathematicsIf \(21<\sqrt{m}<22\), which range is correct for \(m\)?Class 9Number SystemsReal NumbersHard MathematicsIf ( \sqrt{n} ) lies between (18) and (19), which range is correct for (n)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of (1/(√13+2)+1/(√13−2))?Class 9Number SystemsReal NumbersHard MathematicsWhich of the following statements about rational and irrational numbers is correct?Class 9Number SystemsReal NumbersHard MathematicsA student says that the product of two irrational numbers is always irrational. Which of the following examples proves the statement wrong?Class 9Number SystemsReal NumbersHard MathematicsIf \(x=-9\), what is the value of \(\sqrt{x^2}+3x\)?Class 9Number SystemsReal NumbersHard MathematicsIf \(a\) and \(b\) are real numbers, what is the value of \(\sqrt{(a-b)^2}\)?Class 9Number SystemsReal NumbersHard MathematicsIf \(x=4-\sqrt7\), what is \(\frac1x\)?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of \( \left(\frac{1}{5-\sqrt{21}}\right)+\left(\frac{1}{5+\sqrt{21}}\right) \)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the simplest form of \(\sqrt{7}+\sqrt{28}+\sqrt{63}+\sqrt{112}\)?Class 9Number SystemsReal NumbersHard MathematicsIf \(0.12112211122211112222\ldots\) is non-terminating and non-repeating, what type of number is it?Class 9Number SystemsIrrational numbersEasy MathematicsWhat type of decimal expansion will the simplified form of rac{126}{224} have?Class 9Number SystemsDecimal representationHard