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Root Expression

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

MathematicsWhich statement is correct when comparing (5-\sqrt{11}) and ( \frac{17}{10} ) on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 51Expert MathematicsIn which interval is (6-\sqrt{39}) correctly located on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 51Expert MathematicsWhich statement is correct when comparing (4-\sqrt{6}) and ( \frac{31}{20} ) on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Expert MathematicsBetween which two consecutive integers does \(\sqrt{89}+1\) lie on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Expert MathematicsIn which interval is (5-\sqrt{31}) correctly located on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Expert MathematicsWhich option correctly gives the position of (4-\sqrt{18}) on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 51Hard MathematicsIn which interval is (2-\sqrt{10}) correctly located on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 49Expert MathematicsWhich option correctly gives the position of (2-\sqrt{5}) on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 50Hard MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is the correct value of (\alpha^2-6\alpha+\beta^2-6\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is (\alpha^2-6\alpha+\beta^2-6\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-5x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+r=0) and (\alpha^2\beta+\alpha\beta^2=84), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-4x-12=0), what is ((\alpha-5)(\beta-5))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are the roots of (4x^2-12x+5=0), what is the correct value of (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-8x+2=0), what is (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-6x+5=0), what is (\alpha^2-5\alpha+\beta^2-5\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (\alpha,\beta) are roots of (x^2-3x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (\alpha,\beta) are roots of (x^2-6x+r=0) and (\alpha^2\beta+\alpha\beta^2=54), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-3x-10=0), what is ((\alpha-4)(\beta-4))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (\alpha,\beta) are the roots of (3x^2-8x+4=0), what is (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert