Finding the Approximate Value of an Irrational Number

The video tutorial explains how to represent irrational numbers on a number line using a three-step process, demonstrated with the example of sqrt 7. The steps involve drawing a number line, constructing a vertical line, and using a compass to find an intersection point. The tutorial also introduces formulas for generalizing this method to any irrational number, emphasizing the geometric representation and approximation of square roots.

What is the approximated value of the square root of 7 as described in the text?

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Explain the two formulas that can be used with any irrational number.

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