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Class 9 Mathematics - Number System - Test - 2
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1. Simplify: \( \sqrt{18} + \sqrt{50} - \sqrt{8} \)
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2. Which of the following is always rational?
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3. Rationalise the denominator of \( \frac{4}{\sqrt{7} - \sqrt{3}} \).
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4. The value of \( (\sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2}) \) is:
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5. The decimal expansion of \( \frac{13}{125} \) is:
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6. Which number lies between \( \sqrt{5} \) and \( \sqrt{6} \)?
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7. Which of the following numbers has a non-terminating recurring decimal expansion?
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8. Which of the following numbers is the greatest?
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9. Which of the following is irrational?
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10. Which of the following is an irrational number?
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11. Which of the following is a rational number?
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12. Rationalise the denominator of \( \frac{5}{\sqrt{3}} \).
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13. The product of \( \sqrt{12} \) and \( \sqrt{27} \) is:
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14. If \( x = \sqrt{2} + \sqrt{3} \), then \( x^2 \) is:
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15. Which of the following is equal to \( 0.\overline{27} \)?
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