Algebra and proofAdditional / Further Maths

Adding and subtracting surds

Simplify each surd, then collect matching surd parts.

  • Simplify the square roots first.
  • Only terms with the same surd part are like terms.
  • Add or subtract their coefficients.

Example 1

Make the surd parts match

Simplify the expression.

Example 2

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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