With only a straightedge and compass, use a number line and the Pythagorean theorem to construct a

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With only a straightedge and compass, use a number line and the Pythagorean theorem to construct a segment whose length is √2. Measure the segment as accurately as possible, and write your answer in decimal form. Do not use a calculator or any tables. Now, continue your work to construct segments whose lengths are √3, √4, √5, . . . .

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