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1EDEXCEL C1 June 2014 Q6
(a) Write sqrt(80) in the form c*sqrt(5), where c is a positive constant. (1) A rectangle R has a length of (1 + sqrt(5)) cm and an area of sqrt(80) cm^2. (b) Calculate the width of R in cm. Express your answer in the form p + q*sqrt(5), where p and q are integers to be found. (4)
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Part (a):
2EDEXCEL C1 June 2013 Q1
Simplify (7 + sqrt(5)) / (sqrt(5) - 1), giving your answer in the form a + b*sqrt(5), where a and b are integers. (4)
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Part (a):
3OCR C1 June 2013 Q1
Express each of the following in the form a*sqrt(5), where a is an integer. (i) 4*sqrt(15) * sqrt(3) [2] (ii) 20 / sqrt(5) [1] (iii) 5^(3/2) [1]
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Part (a):
Part (b):
Part (c):
4EDEXCEL C1 January 2013 Q3
(i) Express (5 - sqrt(8))(1 + sqrt(2)) in the form a + b*sqrt(2), where a and b are integers. (3) (ii) Express sqrt(80) + 30/sqrt(5) in the form c*sqrt(5), where c is an integer. (3)
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Part (a):
5OCR C1 January 2012 Q1
Express (15 + sqrt(3)) / (3 - sqrt(3)) in the form a + b*sqrt(3), where a and b are integers.
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Part (a):
6Edexcel C1 January 2011 Q3
Simplify (5 - 2*sqrt(3)) / (sqrt(3) - 1), giving your answer in the form p + q*sqrt(3), where p and q are rational numbers. (4)
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Part (a):
7Edexcel C1 June 2010 Q1
Write sqrt(75) - sqrt(27) in the form k*sqrt(x), where k and x are integers. (2)
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Part (a):
8EDEXCEL C1 January 2010 Q2
(a) Expand and simplify (7 + sqrt(5))(3 - sqrt(5)). (3) (b) Express (7 + sqrt(5)) / (3 + sqrt(5)) in the form a + b*sqrt(5), where a and b are integers. (3)
Expand and simplify (sqrt(7) + 2)(sqrt(7) - 2). (2)
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Part (a):
11EDEXCEL C1 January 2008 Q3
Simplify (5 - sqrt(3)) / (2 + sqrt(3)), giving your answer in the form a + b*sqrt(3), where a and b are integers. (4)
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Part (a):
12Edexcel GCSE June 2019 Paper 1 (Higher)
Q18 (a) Express sqrt(3) + sqrt(12) in the form a*sqrt(3) where a is an integer. (2) (b) Express (1/sqrt(3))^7 in the form sqrt(b)/c where b and c are integers. (3) (Total for Question 18 is 5 marks)
