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Square Roots: Classroom Packet

Grade 8 Algebra: Square Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Perfect squares

  1. 1. Evaluate:
    81\sqrt{81}
  2. 2. Evaluate:
    625\sqrt{625}
  3. 3. Evaluate:
    2401\sqrt{2401}
  4. 4. Evaluate:
    4096\sqrt{4096}
  5. 5. Evaluate:
    6561\sqrt{6561}
  6. 6. Evaluate:
    10000\sqrt{10000}
  7. 7. Evaluate:
    20736\sqrt{20736}
  8. 8. Evaluate:
    28561\sqrt{28561}

Answer Key

Level 1

  1. 1. 99
  2. 2. 2525
  3. 3. 4949
  4. 4. 6464
  5. 5. 8181
  6. 6. 100100
  7. 7. 144144
  8. 8. 169169

Grade 8 Algebra: Square Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Fractions, decimals and negatives

  1. 1. Evaluate:
    49\sqrt{\tfrac{4}{9}}
  2. 2. Evaluate:
    1625\sqrt{\tfrac{16}{25}}
  3. 3. Evaluate:
    136\sqrt{\tfrac{1}{36}}
  4. 4. Evaluate:
    0.49\sqrt{0.49}
  5. 5. Evaluate:
    0.01\sqrt{0.01}
  6. 6. Evaluate:
    −64-\sqrt{64}
  7. 7. Evaluate:
    ±121\pm\sqrt{121}
  8. 8. Evaluate:
    1.44\sqrt{1.44}

Answer Key

Level 2

  1. 1. 23\tfrac{2}{3}
  2. 2. 45\tfrac{4}{5}
  3. 3. 16\tfrac{1}{6}
  4. 4. 0.70.7
  5. 5. 0.10.1
  6. 6. −8-8
  7. 7. ±11\pm 11
  8. 8. 1.21.2

Grade 8 Algebra: Square Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Expressions with square roots

  1. 1. Evaluate:
    16+9\sqrt{16}+\sqrt{9}
  2. 2. Evaluate:
    3253\sqrt{25}
  3. 3. Evaluate:
    100−24\sqrt{100}-2\sqrt{4}
  4. 4. Evaluate:
    9+16\sqrt{9+16}
  5. 5. Evaluate:
    36⋅4\sqrt{36}\cdot\sqrt{4}
  6. 6. Evaluate:
    819\dfrac{\sqrt{81}}{\sqrt{9}}
  7. 7. Evaluate:
    (7)2(\sqrt{7})^2
  8. 8. Evaluate:
    52−32\sqrt{5^2-3^2}

Answer Key

Level 3

  1. 1. 77
  2. 2. 1515
  3. 3. 66
  4. 4. 55
  5. 5. 1212
  6. 6. 33
  7. 7. 77
  8. 8. 44