Rationalise the denominator of .
Work out the value of  .
Did this page help you?
Rationalise the denominator of .
Work out the value of  .
Did this page help you?
Work out the value of    .
Did this page help you?
Rationalise the denominator of   .
Give your answer in its simplest form.
Did this page help you?
Show thatÂ
can be written in the form where is a simplified fraction and is an integer.
Did this page help you?
Show thatÂ
Show each stage of your working.
Did this page help you?
Show that can be expressed in the form where is an integer.
Show your working clearly.
Did this page help you?
Show that
Show your working clearly.
Did this page help you?
Rationalise the denominator of
Give your answer in its simplest form
Did this page help you?
Without using a calculator, show that .
Did this page help you?
Write   in the form  .
Did this page help you?
Simplify .
Did this page help you?
Simplify fully by rationalising the denominator.
Did this page help you?
Simplify fully.
           Â
Did this page help you?
Write in the form .
Did this page help you?
Simplify fully.
Did this page help you?
Work out   Â
Give your answer as an integer.
Did this page help you?
Rationalise the denominator and simplifyÂ
Did this page help you?
Circle the number that is closest in value toÂ
Did this page help you?
 Show that  can be written in the form where and are integers.
Did this page help you?
Rationalise the denominator of .
Expand and simplify .
Did this page help you?
Expand Â
Give your answer in the form where and are integers.
Did this page help you?
Martin did this question.
  Rationalise the denominator of   |
Here is how he answered the question.
Martin's answer is wrong.
Find Martin's mistake.
Sian did this question.
Rationalise the denominator of   |
Here is how she answered the question.
          Â
Sian's answer is wrong.
Find Sian's mistake.
Did this page help you?
Simplify fullyÂ
You must show your working.
Did this page help you?
  can be written in the form where is an integer.
Find the value of .
Did this page help you?
Show that  simplifies to  .
Did this page help you?
Express  in the form where is an integer.
Express in the form where and are integers.
Did this page help you?
Rationalise the denominator ofÂ
Show each stage of your working.
Give your answer in the form where and are fractions in their simplest forms.
Did this page help you?
Given that is a prime number,
express in the form where , and are integers.
Did this page help you?
Without using a calculator, rationalise the denominator ofÂ
Simplify your answer.
You must show each stage of your working.
Did this page help you?
Show that can be written in the form , where is an integer.
Show your working clearly.
Did this page help you?
Express in the formÂ
where and are integers.
Show your working clearly.
Did this page help you?
Show that can be written in the form .
Did this page help you?
Show that simplifies to an integer.
Did this page help you?
Show that   simplifies to an integer.
Did this page help you?
Work out the value of .
Give your answer in the form where is an integer.
Did this page help you?
Show that   can be written in the form  where and are integers.
Did this page help you?
Show that   can be written as Â
Did this page help you?
can be written in the formÂ
Find the value of
Show your working clearly.
Did this page help you?
Rationalise the denominator of where is an integer and is a prime number.
Simplify your answer.
Did this page help you?
Show that can be written in the formÂ
where and are integers.
Show your working clearly.
Did this page help you?
Express in the form where a and b are integers.
Show each stage of your working clearly.
Did this page help you?
The area of a rectangle is
The length of the rectangle is .
Without using a calculator and showing each stage of your working, find the width of the rectangle.
Give your answer in the form where , and are integers.
.....................
Did this page help you?
Show that can be written in the form , where and are integers.
Show each stage of your working clearly and give the value of a and the value of .
Did this page help you?
In the following equation, is an integer greater than 1.
= ...................... [2]
= ..................... [2]
Did this page help you?
 Show that can be simplified toÂ
Did this page help you?
Here is a sequence.
     5      15  Â
Work out the next term.
Find the th term.
Did this page help you?
SimplifyÂ
Give your answer in the form   where and are integers.
Did this page help you?
Work out  Â
Give your answer in the form  where and are integers.
Did this page help you?
Show that can be written in the formÂ
where and are integers.
Did this page help you?