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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the value of \(\left(27^{\frac{2}{3}}\right)^{-1}\cdot\left(81^{\frac{3}{4}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of (\sqrt{98}-\sqrt{72}+\sqrt{32}-\sqrt{18})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf \(x+\frac{1}{x}=5\), what is the value of \(x^{2}+\frac{1}{x^{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(\frac{125}{216}\right)^{-\frac{2}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (m=\sqrt{11}+\sqrt{6}), what is the value of (m^{2}+\frac{5}{m^{2}}), given (m(\sqrt{11}-\sqrt{6})=5)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of (\frac{1}{3-\sqrt{8}}-\frac{1}{3+\sqrt{8}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (u=\sqrt{7}+\sqrt{3}) and (v=\sqrt{7}-\sqrt{3}), what is the value of (\frac{u^{2}-v^{2}}{uv})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified value of (\frac{2^{7}\cdot 8^{-2}\cdot 16^{3}}{4^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of (\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the value of \(\left(\frac{2}{3}\right)^{-3}\cdot\left(\frac{9}{4}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the value of (\frac{\sqrt{45}-\sqrt{20}}{\sqrt{5}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (t=\sqrt{13}+\sqrt{12}), what is the value of (t\cdot(\sqrt{13}-\sqrt{12}))?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhich option gives the simplified form of (\frac{x^{-1}+y^{-1}}{(xy)^{-1}}), where (x\neq0) and (y\neq0)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhich option gives the correct expansion of \(\left(\sqrt{11}-\sqrt{2}\right)^{2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified value of (\frac{6^{5}}{2^{3}\cdot3^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (x=2-\sqrt{3}), what is the value of (\frac{1}{x}+x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf \(a\) is a nonzero real number, which of the following statements is always true?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (u=\frac{\sqrt{3}}{\sqrt{12}}), what is the value of (u^{-2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (m=\sqrt{6}+\sqrt{2}), what is the value of (m^{2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhich option correctly writes \(\left(x^{2}-4\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard