Surds (AQA GCSE Further Maths)

Simplify    writing your answer as an integer.

[2]

ABC is a triangle.

The perpendicular from meets at .

Area of triangle
Work out the length, in cm, of .
Give your answer in the form where and are integers.

........................cm[5]

Rationalise the denominator and simplify fully    

[4]

Write  in the form  where  and  are integers.

[2]

Solve   

[3]

Rationalise the denominator and simplify fully   

[3]