1.1.4 Proof by contradiction (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]

1.1.4 Proof by contradiction (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14

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]

1.1.4 Proof by contradiction (A-level only)

Question 11

Markscheme

1.1.4 Proof by contradiction (A-level only)

Question 11

Markscheme

1.1.4 Proof by contradiction (A-level only)

Question 11

1.1.4 Proof by contradiction (A-level only) Questions

1.1.4 Proof by contradiction (A-level only)

Question 11

1.1.4 Proof by contradiction (A-level only) Questions