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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 (x=3+\sqrt{8}), what is (\frac{1}{x}) equal to?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsFor which (k) will (x=\sqrt{2}) be a zero of the polynomial (x^2+kx-2)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-(\sqrt{2}+\sqrt{8})x+4), what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf the zeroes are \\( \\frac{3+\\sqrt{5}}{2} \\) and \\( \\frac{3-\\sqrt{5}}{2} \\), what is the monic quadratic polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf one zero of (p(x)=x^2-2kx+5) is (\sqrt{5}), what will be the other zero and (k)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2+4x+2), which is the correct pair of zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\sqrt{2}) and (-\sqrt{8}) are zeroes of a polynomial, what is the simplified form of their sum?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\alpha=1+\sqrt{2}) and (\beta=1-\sqrt{2}), what is (\alpha^3+\beta^3)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-2\sqrt{10}x+10), which statement about its zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-10x+17), what is the difference between its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich option gives the correct simplified form of (\sqrt{12}), useful in simplifying polynomial zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=2+\sqrt{5}) and (\beta=2-\sqrt{5}), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2+2\sqrt{5}x+5), what is its real zero?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-12x+31), what is the difference between its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=3+\sqrt{11}) and (\beta=3-\sqrt{11}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(\sqrt{3})=0) and (p(x)=x^2+ax+3), what is the value of (a)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-(2+\sqrt{3})x+\sqrt{3}), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes are (\frac{1+\sqrt{3}}{2}) and (\frac{1-\sqrt{3}}{2}), what is their product?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2+4x+1), what are the sum and type of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=3x^2-12x+6), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard