Surds and Indices
You should answer all these questions without using a calculator and justify your answers by showing intermediate steps.
- Simplify
(a)
Solutions
(b)
Solutions
Change the base to 2 and 5 so that we can combine the terms more easily.
Solutions
(d)
Solutions
- Place the following numbers in ascending order:
Fully justify your answer.
Hint
One way is to put them in square form, to get rid of squared root and then compare.
Solutions
- Simplify as far as possible:
(a)
Solutions
(b)
Solutions
Solutions
(d)
Solutions
- Find the area and the perimeter of the quadrilateral ABCD . Simplify your answers as far as possible.
Solutions
This is trapezium. Area
