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

MathematicsWhat is the value of \(\left(\sqrt{7}+\sqrt{2}\right)^2-\left(\sqrt{7}-\sqrt{2}\right)^2\)?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the value of ((4+√7)/(4−√7)+(4−√7)/(4+√7))?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the rationalised form of ( \frac{5}{\sqrt{13}-\sqrt{8}} )?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the rationalised form of ( \frac{1}{4\sqrt{3}+3\sqrt{5}} )?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsA student says that the number \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. The number of zeros before each successive 1 keeps increasing. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsLet \(x=\sqrt{2}+\sqrt{3}\). Which classification of \(x\) and \(x^2\) is correct?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the expansion of ( (4\sqrt{3}+3\sqrt{2})^2 )?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsChoose the correct simplified form of (3\sqrt{75}+4\sqrt{48}-2\sqrt{27}).Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the simplified form of (5\sqrt{20}-2\sqrt{125}+\sqrt{45})?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsIf \(r\) is a rational number and \(x\) is an irrational number, which of the following will always be irrational?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the simplified surd form of ( \sqrt{1125} )?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the value of 1/(2 + √3) + 1/(2 − √3)?Class 9Number SystemsReal NumbersLevel 5Hard MathematicsWhich product made from ( \sqrt{2} ), ( \sqrt{3} ), and ( \sqrt{5} ) is rational?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves the claim?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsWhat is the value of ( \sqrt{a}\times\sqrt{a} ) where (a\geq0)?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsWhen is ( \sqrt{a}+\sqrt{b}=\sqrt{a+b} ) generally not correct?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsIf \(15<\sqrt{m}<16\), what is the correct range for \(m\)?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsWhich of the following conditions about the decimal expansion of a real number definitely identifies it as irrational?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsWhat is the simplified form of ( (3-\sqrt{2})^3 )?Class 9Number SystemsReal NumbersLevel 1Hard