1.

Show how root 5 can be represented on no line

Answer» LOCATING √5 on number line :



Here 5 = 2² + 1¹

..............[ See the ATTACHED image (I) √5 ]..........

So, draw a line a right angled OAB, in which OA = 2 units and angle OAB = 90°

By USING Pythagoras theorem, we get



Taking OB = √5 as radius and point Pad centre, draw an arc which meets the number line point P on the positive SIDE of it.

Hence, it is clear that point P represents √5 on the number line.



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