Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Ireland: choose your country
Second Year maths · C.14 · Square roots and cube roots

Simplify square roots with a coefficient

Find the largest perfect square that divides the number inside the root, and take its root outside.

Loading a question…

See worked examples
  1. Simplify 5√18. Write the answer like 3√5.

    Answer: 15√2

  2. Simplify 2√112. Write the answer like 3√5.

    Answer: 8√7

  3. Simplify 5√45. Write the answer like 3√5.

    Answer: 15√5

Tip: Find the largest perfect square that divides the number inside the root, and take its root outside.

Print a worksheet of this skill New questions and an answer key, free.

Up next

Print a free worksheet with answers (20 questions).

Practise without limits

Members practise as much as they like, every day, and get the printable packs and lessons too.