Algebraic Methods

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Question 79

In the design of a custom optical lens, the focal length $F$ is calculated as the arithmetic mean of a rational base length $L$ and an irrational correction factor $γ\gamma$ .

Given that $\frac{L + \gamma}{2}$ , prove by contradiction that the focal length $F$ must be an irrational number.

[5]

Algebraic Methods

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Question 79

In the design of a custom optical lens, the focal length $F$ is calculated as the arithmetic mean of a rational base length $L$ and an irrational correction factor $γ\gamma$ .

Given that $\frac{L + \gamma}{2}$ , prove by contradiction that the focal length $F$ must be an irrational number.

[5]

Algebraic Methods

Question 79

Algebraic Methods Questions

Algebraic Methods

Question 79

Algebraic Methods Questions