Rationalise the denominator of .
Work out the value of .
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Rationalise the denominator of .
Work out the value of .
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Work out the value of .
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Rationalise the denominator of .
Give your answer in its simplest form.
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Show that
can be written in the form where is a simplified fraction and is an integer.
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Show that
Show each stage of your working.
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Show that can be expressed in the form where is an integer.
Show your working clearly.
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Show that
Show your working clearly.
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Rationalise the denominator of
Give your answer in its simplest form
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Without using a calculator, show that .
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Write in the form .
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Simplify .
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Simplify fully by rationalising the denominator.
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Simplify fully.
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Write in the form .
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Simplify fully.
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Work out
Give your answer as an integer.
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Rationalise the denominator and simplify
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Circle the number that is closest in value to
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Show that can be written in the form where and are integers.
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Rationalise the denominator of .
Expand and simplify .
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Expand
Give your answer in the form where and are integers.
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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.
Sian's answer is wrong.
Find Sian's mistake.
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Simplify fully
You must show your working.
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can be written in the form where is an integer.
Find the value of .
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Show that simplifies to .
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Express in the form where is an integer.
Express in the form where and are integers.
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Rationalise the denominator of
Show each stage of your working.
Give your answer in the form where and are fractions in their simplest forms.
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Given that is a prime number,
express in the form where , and are integers.
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Without using a calculator, rationalise the denominator of
Simplify your answer.
You must show each stage of your working.
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Show that can be written in the form , where is an integer.
Show your working clearly.
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Express in the form
where and are integers.
Show your working clearly.
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Show that can be written in the form .
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Show that simplifies to an integer.
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Show that simplifies to an integer.
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Work out the value of .
Give your answer in the form where is an integer.
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Show that can be written in the form where and are integers.
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Show that can be written as
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can be written in the form
Find the value of
Show your working clearly.
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Rationalise the denominator of where is an integer and is a prime number.
Simplify your answer.
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Show that can be written in the form
where and are integers.
Show your working clearly.
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Express in the form where a and b are integers.
Show each stage of your working clearly.
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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.
.....................
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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 .
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In the following equation, is an integer greater than 1.
= ...................... [2]
= ..................... [2]
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Show that can be simplified to
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Here is a sequence.
5 15
Work out the next term.
Find the th term.
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Simplify
Give your answer in the form where and are integers.
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Work out
Give your answer in the form where and are integers.
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Show that can be written in the form
where and are integers.
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