3.1 Proof (A-level only)

Question 11

An architect is designing a modern sculpture consisting of two cubes. The volume of the larger cube is exactly 7 times the volume of the smaller cube. Let $L\,$ represent the ratio of the side length of the larger cube to the side length of the smaller cube, such that $\sqrt[3]{7}$ .

Prove by contradiction that $L\,$ is an irrational number.

[5]

3.1 Proof (A-level only)

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Question 11

An architect is designing a modern sculpture consisting of two cubes. The volume of the larger cube is exactly 7 times the volume of the smaller cube. Let $L\,$ represent the ratio of the side length of the larger cube to the side length of the smaller cube, such that $\sqrt[3]{7}$ .

Prove by contradiction that $L\,$ is an irrational number.

[5]

3.1 Proof (A-level only)

Question 11

3.1 Proof (A-level only) Questions

3.1 Proof (A-level only)

Question 11

3.1 Proof (A-level only) Questions