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Perfect Square

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

MathematicsIf (m) is a positive integer and (\sqrt{m}) is rational, which conclusion about (m) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\sqrt{m}) is irrational and (m) is a positive integer, which conclusion about (m) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsFor which value of (n) is (\sqrt{n}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (\sqrt{m}) is rational and (m) is a positive integer, what is true about (m)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard 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^2-2ax+(a^2-7)) and (a) is rational, which statement about the zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert 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) = x² − 2√2x + 2, which is the correct factorized form of p(x)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-2\sqrt{3}x+3), which statement about its zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf \(p(x)=x^2+2\sqrt{3}x+3\), what are its zeros?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(p(x)=x^2-2\sqrt{7}x+7\), what is the number and nature of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsWhich option makes (8-\sqrt{m}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option describes the nature of (\sqrt{289}+\sqrt{290})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (\sqrt{m}=a), where (a) is rational and (m) is a positive integer, what is necessary for (m)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option makes (12-\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich option makes (4+\sqrt{m}) irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich option gives the correct nature of (\sqrt{361}) and (\sqrt{362})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich statement is correct for (\sqrt{a}) when (a) is a positive integer?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich option makes (5+\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsWhich option makes (9-\sqrt{m}) rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium