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Grade 8 Algebra: Estimating Roots and Irrational Numbers

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Rational or irrational, and ordering

  1. 1. Rational or irrational?:
    49\sqrt{49}
  2. 2. Rational or irrational?:
    12\sqrt{12}
  3. 3. Rational or irrational?:
    273\sqrt[3]{27}
  4. 4. Rational or irrational?:
    π\pi
  5. 5. Rational or irrational?:
    916\sqrt{\tfrac{9}{16}}
  6. 6. Order from least to greatest:
    10,  3.5,  π\sqrt{10},\; 3.5,\; \pi
  7. 7. Order from least to greatest:
    50,  7.2,  48\sqrt{50},\; 7.2,\; \sqrt{48}
  8. 8. Estimate to one decimal place:
    30\sqrt{30}