Show that 117+7\displaystyle \frac{1}{\frac{1}{\sqrt{7}} + \sqrt{7}}71+71 can be written in the form 7k\displaystyle \frac{\sqrt{7}}{k}k7 where k k\,k is an integer to be found.
Practise Edexcel GCSE Maths Surds with exam-style questions for Foundation and Higher tier. 80 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 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.