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Irrational numbers on the number line — Homework

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Irrational numbers on the number line — Homework

For each root, name the two consecutive whole numbers it falls between. For each number, say rational or irrational and why.

  1. 1.Between which two whole numbers is sqrt(20)?
  2. 2.Between which two whole numbers is sqrt(95)?
  3. 3.Is sqrt(49) rational or irrational? Why?
  4. 4.Is sqrt(30) rational or irrational? Why?
  5. 5.Is 0.575757... (repeating) rational or irrational? Why?
  6. 6.Explain to a friend why sqrt(2) cannot be written as an exact fraction, in your own words.
🌲 Homeschool of the FutureEighth Grade · Math · week 24 homework