Question
Show how $\sqrt 5 $ can be represented on the number line.
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Answer
According to the Pythagoras theorem, we can conclude that $(\sqrt{5})^2=(2)^2+(1)^2$ We need to draw a line segment $A B$ of 1 unit on the number line. Then draw a straight line segment $B C$ of $2$ units. Then join the points $C$ and $A$, to form a line segment $B C$. Then draw the arc $A C D$, to get the number $\sqrt{5}$ on the number line.
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