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Rationalisation

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

MathematicsIf p = 6 - √35, what is the value of 1/p - p?Class 10PolynomialsLevel 44Hard 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 MathematicsWhich form is obtained by rationalising the denominator of (\dfrac{2}{\sqrt{7}+\sqrt{5}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhich form is obtained by rationalising the denominator of (\dfrac{1}{\sqrt{3}-\sqrt{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf the roots of (x^2+ax+b=0) are (\frac{1}{4+\sqrt{3}}) and (\frac{1}{4-\sqrt{3}}), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of (x^2+ax+b=0) are (\frac{1}{3+\sqrt{5}}) and (\frac{1}{3-\sqrt{5}}), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of \(x^2+ax+b=0\) are \(\frac{1}{2+\sqrt{3}}\) and \(\frac{1}{2-\sqrt{3}}\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsWhich option gives the correct value of 1/(√10 − 3)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 27Medium MathematicsIf (x=\frac{2}{\sqrt{3}+1}), what is (x) equal to?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (x=\frac{1}{\sqrt{5}-2}), what is the simplified form of (x)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (x=1+\sqrt{2}), what is (x+\frac{1}{x})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich option is actually a rational number?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=\sqrt{2}x^2-4x+\sqrt{2}), what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsWhich option is the rationalized form of (\frac{1}{5-\sqrt{6}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (a=\sqrt{5}+\sqrt{3}) and (b=\sqrt{5}-\sqrt{3}), what is the simplified form of (\frac{a}{b})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the simplified form of \(\left(\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\right)\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (m=\frac{1}{\sqrt{5}+\sqrt{2}}), what is the simplified form of (m)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the simplified form of (\frac{2}{\sqrt{7}-\sqrt{3}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the rationalized form of (\frac{1}{3+\sqrt{5}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsWhich option is the simplified form of (4/√2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium