Write 45 \sqrt{45}\,45 in the form a5a\sqrt{5}a5, where a a\,a is an integer.
Express 2(3+5)(3−5)\displaystyle \frac{2(3 + \sqrt{5})}{(3 - \sqrt{5})}(3−5)2(3+5) in the form b+c5b + c\sqrt{5}b+c5, where b b\,b and c c\,c are integers.
Practise Edexcel A Level Old Maths Indices and Surds with exam-style questions for A Level Old Maths. 12 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.