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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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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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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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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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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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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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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can be written in the form
Find the value of
Show your working clearly.
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In the following equation, is an integer greater than 1.
= ...................... [2]
= ..................... [2]
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Here is a sequence.
5 15
Work out the next term.
Find the th term.
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