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Homework Exercise: Indices, Surds and Functions
Q1
A function is given by f  x   4 x
Find the value of f
 32 
Q2
Express
32  8 as a surd in its simplest form
Q3
Express
3
as fraction with a rational denominator
5
Q4
f  x  3 x
Find the exact value of f 12  , giving your answers as a surd in its simplest form
Q5
y4  y
Express
in its simplest form.
y2
Q6
Remove the brackets and simplify:
Q7
1

1
b2 b2  b
 12

3
. Find the exact value of f 12  .
x
Give your answer as a fraction with a rational denominator.
f  x 
Q8
h  t   15t  3t 2 . Find h  2 
Q9
Express
72  2  50 as a surd in its simplest form.
3 y 5  4 y 1
Q10 Express
in its simplest form.
6y
Q11
f  x 
3
. Find f
x2
 13 
Q12 Multiply out the brackets
2

6 2

Express your answer as a surd in its simplest form.
3
24
Express your answer as a fraction with a rational denominator
Q13 Simplify
Q14 Express in its simplest from: y 8   y 3 
2