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Irrational Numbers

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

MathematicsWhich polynomial has zeros \\(1+\sqrt{10}\\) and \\(1-\sqrt{10}\\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf \(p(x)=x^2-3x+\sqrt{2}\), what is the product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(p(x)=x^2+2\sqrt{3}x+3\), what are its zeros?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf p(x) = x² + 6x + 7, what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(p(x)=x^2-2x-2\), what is the product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf α = √3 + 1 and β = √3 − 1, what is αβ?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-2), which statement about its real zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(x=\sqrt{7}+\sqrt{3}\), what is the value of \(x^2-10\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich of the following is the simplified form of \(\sqrt{10+\sqrt{96}}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf \(x=\sqrt{3}+\sqrt{2}\), what is the value of \(x^2-5\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich of the following is a rational number between \(\sqrt{99}\) and \(\sqrt{100}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf \(a=\sqrt{7}+\sqrt{2}\) and \(b=\sqrt{7}-\sqrt{2}\), what is the value of \(ab\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich of the following is the simplified form of (\sqrt{12}+\sqrt{27}+\sqrt{75}-\sqrt{48})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is a number between (\sqrt{2}) and (\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option correctly describes the nature of the expression (\sqrt{45}+\sqrt{80}-\sqrt{125})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich of the following is the simplified form of \(2\sqrt{12}-3\sqrt{27}+\sqrt{75}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf \(r=\sqrt{2}+\sqrt{3}\), what is the simplified form of \(r+\dfrac{1}{r}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the value of ((√15+√6)(√15−√6))?Class 10Real NumbersIrrational numbersLevel 27Easy MathematicsWhich option is the simplified form of \(\sqrt{363}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich of the following is the value of ((\sqrt{10}+\sqrt{5})(\sqrt{10}-\sqrt{5}))?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium