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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।

MathematicsIf (u=\sqrt{13}+\sqrt{5}) and (v=\sqrt{13}-\sqrt{5}), what is the value of (\frac{u^{2}-v^{2}}{uv})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (\frac{1}{\sqrt{a}+\sqrt{b}}=\sqrt{a}-\sqrt{b}) and (a>b>0), what is the value of (a-b)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (s=2+\sqrt{7}), what is the value of (s^{2}-\frac{1}{s^{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (x=\sqrt{5}-\sqrt{2}), what is the value of (x^{2}+2\sqrt{10})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (y=3+2\sqrt{2}), what is the value of (y+\frac{1}{y})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhich option gives the correct expansion of ((2\sqrt{3}-3\sqrt{2})^{2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the value of (\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{6}+\sqrt{5}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (r=\sqrt{10}+\sqrt{2}), what is the value of (r^{2}-4\sqrt{5})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (A=9+4\sqrt{5}), what is the simplified form of (\sqrt{A})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the simplified form of (\sqrt{98}-\sqrt{72}+\sqrt{32}-\sqrt{18})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (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 43Expert MathematicsIf (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 43Expert MathematicsIf (z=5-2\sqrt{6}), then (z) can be written as which square?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (A=7+4\sqrt{3}), what is the correct simplified form of (\sqrt{A})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhich option gives the correct expansion of \(\left(\sqrt{11}-\sqrt{2}\right)^{2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (m=\sqrt{6}+\sqrt{2}), what is the value of (m^{2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (x=\sqrt{5}+2), then (\frac{1}{x}) is equal to which expression?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhich form is obtained by rationalising the denominator of (\dfrac{3}{2-\sqrt{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the simplified form of (\sqrt{98}+\sqrt{72}-\sqrt{50})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of ((\sqrt{2}+\sqrt{8})^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard