Answer the following questions about the nature of certain square roots.

MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers

Problem

Answer the following questions about the nature of certain square roots. (a) State the Fundamental Theorem of Arithmetic. (b) Prove that 45\sqrt{45} is an irrational number. (c) From part (b), deduce whether 5\sqrt{5} is rational or irrational, giving reasons for your answer.

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