Mathematics

Mathematics

Problem

Construct 5\sqrt{5} on the number line and answer the following. a. (i) List the complete sequence of steps, using only an unmarked ruler and a compass, to obtain the point representing 5\sqrt{5}. b. (ii) Prove algebraically that the length obtained in part (i) is indeed 5\sqrt{5}. c. (iii) Give the value of 5\sqrt{5} correct to three decimal places.

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