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 ${\left( {\sqrt 5 } \right)^2} = {\left( 2 \right)^2} + {\left( 1 \right)^2}$ We need to draw a line segment AB of 1 unit on the number line. Then draw a straight line segment BC of 2 units. Then join the points C and A, to form a line segment BC. Then draw the arc ACD, to get the number $\sqrt 5 $ on the number line.
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