A student carried out the textbook construction for representing on the number line

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

A student carried out the textbook construction for representing 5\sqrt{5} on the number line. Answer the following questions related to this construction. (i) State the meaning of 5\sqrt{5} in terms of the square of a positive real number. (ii) Explain, with reference to the Pythagoras theorem, why the distance obtained in the construction is exactly 5\sqrt{5} units. (iii) Justify that the point representing 5\sqrt{5} lies between the integers 22 and 33 on the number line.

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