Simplify
Ā Ā Ā
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Exam code: 0580 & 0980
Simplify
Ā Ā Ā
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Rationalise the denominator ofĀ .
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Work out the value ofĀ Ā .
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Work out the value ofĀ Ā Ā Ā .
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Rationalise the denominator ofĀ Ā Ā . Give your answer in its simplest form.
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Show thatĀ
can be written in the form where
is a simplified fraction and
is an integer.
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Show thatĀ
Show each stage of your working.
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Show that can be expressed in the formĀ
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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Show that .
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WriteĀ Ā Ā in the formĀ Ā
.
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Simplify .
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Simplify fully by rationalising the denominator.
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Simplify fully.
Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā
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WriteĀ in the formĀ
.
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Simplify fully.
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Work outĀ Ā Ā Ā
Give your answer as an integer.
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Rationalise the denominator and simplifyĀ
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Select the number that is closest in value toĀ
19
90
830
900
Choose your answer
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Ā Show that Ā can be written in the formĀ
where
and
are integers.
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Rationalise the denominator
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Rationalise the denominator ofĀ .
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Expand and simplifyĀ .
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ExpandĀ Ā
Give your answer in the formĀ where
and
are integers.
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Martin did this question.
Ā Ā Rationalise the denominator ofĀ Ā Ā |
Here is how he answered the question.
Martin's answer is wrong.
Find Martin's mistake.
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Sian did this question.
Rationalise the denominator ofĀ Ā Ā |
Here is how she answered the question.
Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā
Sian's answer is wrong.
Find Sian's mistake.
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Simplify fullyĀ
You must show your working.
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Ā Ā can be written in the formĀ
where
is an integer.
Find the value of .
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Show thatĀ Ā simplifies toĀ Ā
.
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ExpressĀ Ā in the formĀ
whereĀ
is an integer.
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ExpressĀ in the formĀ
whereĀ
andĀ
are integers.
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Rationalise the denominator ofĀ
Show each stage of your working.
Give your answer in the formĀ whereĀ
andĀ
are fractions in their simplest forms.
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Given thatĀ is a prime number,
expressĀ in the formĀ
where
,Ā
and
are integers.
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Without using a calculator, rationalise the denominator ofĀ
Simplify your answer.
You must show each stage of your working.
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Show thatĀ can be written in the formĀ
, whereĀ
is an integer.
Show your working clearly.
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ExpressĀ in the formĀ
where and
are integers. Show your working clearly.
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Show thatĀ can be written in the formĀ
.
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Show thatĀ simplifies to an integer.
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Show thatĀ Ā Ā simplifies to an integer.
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Work out the value of .
Give your answer in the formĀ where
is an integer.
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Ā Show that Ā Ā Ā can be written in the formĀ
Ā where
andĀ
are integers.
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Show thatĀ Ā Ā can be written asĀ Ā
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can be written in the formĀ
Find the value of
Show your working clearly.
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Rationalise the denominator ofĀ whereĀ
is an integer and
is a prime number.
Simplify your answer.
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Show thatĀ can be written in the formĀ
where and
are integers.
Show your working clearly.
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ExpressĀ in the formĀ
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 thatĀ can be written in the formĀ
, whereĀ
andĀ
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.
i) Find whenĀ
= 7.
= ...................... [2]
ii) Find when
= 64.
= ..................... [2]
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Ā Show thatĀ can be simplified toĀ
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Here is a sequence.
Ā Ā Ā Ā Ā 5Ā Ā Ā Ā Ā Ā 15 Ā Ā
Work out the next term.
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Find the th term.
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SimplifyĀ
Give your answer in the formĀ Ā Ā where
and
are integers.
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Work outĀ Ā Ā
Give your answer in the formĀ Ā where
and
are integers.
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Show thatĀ can be written in the formĀ
where andĀ
are integers.
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