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Algebraic Methods

Algebraic Methods

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Question 254

A structural engineer calculates that the side length, sss decimetres, of a square support column must satisfy the equation s2=13s^2 = 13s2=13 to meet safety specifications.

Use proof by contradiction to prove that sss is an irrational number.

(You may assume that for any integer nnn, if n2n^2n2 is a multiple of 13, then nnn is a multiple of 13).

[6]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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