SPS SPS FM 2020 October — Question 6 5 marks

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2020
SessionOctober
Marks5
TopicProof
TypeContradiction proof of irrationality
DifficultyModerate -0.3 This is a standard proof by contradiction following the classic template for proving square roots of non-perfect-squares are irrational. While it requires understanding proof structure and algebraic manipulation, it's a well-rehearsed technique in Further Maths with no novel insight needed—slightly easier than average due to its formulaic nature.
Spec1.01d Proof by contradiction

Prove by contradiction that \(\sqrt{7}\) is irrational. [5]

Prove by contradiction that $\sqrt{7}$ is irrational. [5]

\hfill \mbox{\textit{SPS SPS FM 2020 Q6 [5]}}