2080.1 10

Discrete Structures2080.15 marksProof Methods

What is direct proof? Give a direct proof that if m and n are both perfect squares, then mn is also a perfect square.

What is direct proof? Give a direct proof that if m and n are both perfect squares, then mn is also a perfect square. [5]

A direct proof is a method of proving a statement of the form "if P then Q" by assuming that P is true and then, using definitions, axioms, theorems, and logical reasoning step by step, showing that Q must also be true. In other words, we start from the hypothesis and proceed forward through a ch...

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