Class 9 Number Systems Important Questions

Important Questions

Number Systems Important Questions

  1. Find three rational number between \frac{3}{4} and \frac{5}{6} .
  2. Represent √ 6.4 on the number line.
  3. If x = \frac{2 - \sqrt{5}}{2 + \sqrt{5}} and y = \frac{2 + \sqrt{5}}{2 - \sqrt{5}} , find the value of x2 + y2 + xy.
  4. Express 6.234 in the form of p/q.
  5. If x = 2 + \sqrt{3} , find the value of x^{2} + \frac{1}{x^{2}} .
  6. Find the smallest of the numbers \sqrt[3]{6} , \sqrt[3]{24} and \sqrt[4]{8} .
  7. Find three irrational numbers between \frac{1}{7} and \frac{2}{7} .
  8. If x = \frac{\sqrt{p + q} + \sqrt{p - q}}{\sqrt{p + q} - \sqrt{p - q}} , then find the value of qx2 -2px + q.
  9. If 2a = 3b = 6c then show that c = \frac{ab}{a + b} .
  10. Represent \sqrt{3} on the number line .
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