(3+2 v5)(6 - 2 V5) (4 – V5) (a) Simplify giving your answer in the form a+bV5, where d integers.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterA: Appendix
SectionA.1: Algebraic Expressions
Problem 7E
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page 36
PAPER 1
4. INDICES AND SURDS
F2018
1 Do not use a calculator in this question.
(3 +2v5)(6 - 2 V5)
(4 – V5)
(a) Simplify
giving your answer in the form a+bv5, where a and b are
integers.
(b) In this part, all lengths are in centimetres.
A
6- 2 V3
В
6+2v3
The diagram shows the triangle ABC with AB = 6- 2V3 and BC = 6+2 v3. Given that
cos ABC =-, find the length of AC in the form cvd, where c and d are integers.
Transcribed Image Text:page 36 PAPER 1 4. INDICES AND SURDS F2018 1 Do not use a calculator in this question. (3 +2v5)(6 - 2 V5) (4 – V5) (a) Simplify giving your answer in the form a+bv5, where a and b are integers. (b) In this part, all lengths are in centimetres. A 6- 2 V3 В 6+2v3 The diagram shows the triangle ABC with AB = 6- 2V3 and BC = 6+2 v3. Given that cos ABC =-, find the length of AC in the form cvd, where c and d are integers.
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