MethodsSimple familiarNo calculator2 marks · about 1 minute

Add and subtract surds

meth.u1.t1.collect-like-surds#903220874

Simplify 35−345+1253\sqrt{5} - 3\sqrt{45} + \sqrt{125}, giving your answer in simplest surd form.
[2]
Hints
  1. Simplify each surd first — they may share a radicand once reduced.
  2. Every term here reduces to a multiple of 5\sqrt{5}.
  3. Once the radicands match, add and subtract the coefficients as you would with like terms.