Skills · The Number System · Radicals

Adding and subtracting radicals

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. √7 + 2√7 =
  2. 7√3 + 8√3 =
  3. 3√2 + 8√2 =
  4. 4√10 + 5√10 =
  5. 2√11 − 7√11 =
  6. 2√3 − √3 =
  7. 6√2 − 7√2 =
  8. 4√11 − 6√11 =

Answer key

  1. 3√7
  2. 15√3
  3. 11√2
  4. 9√10
  5. −5√11
  6. √3
  7. −√2
  8. −2√11

Sample Sheet · Level 3

  1. 10√5 + 11√5 =
  2. 8√5 − 12√5 =
  3. 12√6 − √6 =
  4. 5√5 + √45 − 2√6 =
  5. √150 − √24 =
  6. 3√3 + √18 + √2 =
  7. √45 − √20 =
  8. √3 + √12 + √5 =

Answer key

  1. 21√5
  2. −4√5
  3. 11√6
  4. 8√5 − 2√6
  5. 3√6
  6. 4√2 + 3√3
  7. √5
  8. 3√3 + √5

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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