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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=\sqrt{7}+\sqrt{28}), what is the value of (\frac{x^2}{7})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (a) and (b) are positive integers and (\sqrt{a}+\sqrt{b}) is rational, while (a) is not a perfect square, which conclusion about (b) can definitely be true?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (N=2^3 \times 3^2 \times 5), by which property is the prime factorisation of (N) considered unique?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsHow many factors of (2^2 \times 3^2 \times 7^2) are perfect squares?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsHow many factors of (2^5 \times 5^4) will be divisible by (10)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsHow many factors of (2^4 \times 3^3) will be divisible by (3)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsIf (N=2^2 \times 3^5), what is the smallest perfect-cube multiple of (N)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsIf (N=2^3 \times 3^2 \times 5), what is the smallest perfect-square multiple of (N)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhich option is not a prime factorisation?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhat is the prime factorisation of (625)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsHow many maximum times can (2^5 \times 3^2) be completely divided by (12)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsIf (N=2^4 \times 3^2 \times 5^3), how many times can (N) be completely divided by (10)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhich prime factor is not common to (2^3 \times 3^2 \times 5) and (2^2 \times 3 \times 7)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsIf (N=2^6 \times 5^3), what is (\sqrt[3]{N}) equal to?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsIf (N=2^4 \times 3^2), what is (\sqrt{N}) equal to?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsHow many total factors are there in (2^2 \times 3^3 \times 5)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhich option gives the prime factorisation of (72) correctly?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhat is the smallest even multiple of (3^2 \times 5^2 \times 7)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhat is the greatest odd factor of (2^3 \times 3^2 \times 5)?Class 10Real NumbersPrime FactorisationLevel 9Expert MathematicsWhich statement about the prime factorisation of (1) is correct?Class 10Real NumbersPrime FactorisationLevel 9Expert