1.1 Proof by Contradiction

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]

1.1 Proof by Contradiction

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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]

1.1 Proof by Contradiction

Question 11

Markscheme

1.1 Proof by Contradiction

Question 11

Markscheme

1.1 Proof by Contradiction

Question 11

1.1 Proof by Contradiction Questions

1.1 Proof by Contradiction

Question 11

1.1 Proof by Contradiction Questions