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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।

MathematicsIf \(x=\sqrt{7}-\sqrt{3}\), what is \(x^2\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhich number, when squared, equals (7+4\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf \(a=\sqrt{11}+\sqrt{5}\) and \(b=\sqrt{11}-\sqrt{5}\), what is the value of \(ab\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf x = \sqrt{6} + \sqrt{2}, what is the value of x^2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf x = √5 + √3, then what type of number is x²?Class 10PolynomialsIrrational numbers and real numbersLevel 28Medium MathematicsIf \(x=\sqrt{3}\), what is the value of \(2x^2-x-6\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(x=\sqrt{6}+\sqrt{2}\) and \(y=\sqrt{6}-\sqrt{2}\), what is the value of \(xy\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(a=\sqrt{2}+\sqrt{8}\), what is the simplified form of \(a\) and what type of number is it?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf p(x) = x³ − 2x, what is p(√2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf \(x=\sqrt{11}\), what is the value of \(x^4-121\)?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 MathematicsIf \(p(x)=x^2-7\), what is the value of \(p(\sqrt{7}+1)\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-5x+6), what type of number is (p(\sqrt{2}))?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (\sqrt{2}+x) is a rational number and (x) is a real number, which statement about (x) is definitely true?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich of the following polynomials has both zeroes as irrational real numbers?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf \(p(x)=x^2-(3+\sqrt{2})x+3\sqrt{2}\), which is the correct pair of zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\alpha=5+\sqrt{6}) and (\beta=5-\sqrt{6}), what is the value of (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf \(\alpha\) and \(\beta\) are zeroes of \(x^2-7x+5\), what type of numbers are \(\alpha\) and \(\beta\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsFor which values of p and q will \(x^2+px+q\) have zeros \(4+\sqrt{7}\) and \(4-\sqrt{7}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard