Algebra and proofAdditional / Further Maths

Simplifying square roots

Take square factors out of a square root.

  • Find the largest square factor of the number under the root.
  • Split the root into a square root you know and a remaining surd.
  • Leave an exact answer unless a decimal is requested.

Example 1

Find a square factor

Simplify the expression.

Example 2

Include an outside coefficient

Fully simplify the expression.

Your turn

Question 1

Simplify.

Check answer
Question 2

Simplify.

Check answer
Question 3

Simplify.

Check answer
Question 4

Simplify.

Check answer
Question 5

Simplify.

Check answer
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