The value of an irrational number by representing it on the number line.

The video tutorial explains how to represent an irrational number, specifically the square root of 7, on a number line using three steps. First, draw and divide the number line into equal units. Second, construct a vertical line from the origin with a length of 3 units. Third, use a compass to draw an arc intersecting the number line at approximately 2.6 units, the approximate value of the square root of 7. The tutorial also introduces formulas to generalize this method for any irrational number, using a right-angle triangle approach.

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