A sculpture is designed in the shape of a perfect cube. The artist specifies that the volume of the sculpture must be exactly 7 m37\text{ m}^37 m3. An architect claims that the side length of this cube, LLL, can be expressed as a rational number (a fraction of two integers in its simplest form).
Prove by contradiction that the architect's claim is false.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
