Question

Locate root ten on the number line.​

Answer 1

Consider a number line. Let the point O represent 0 and point A represent 3.Now draw a perpendicular AP at A on the number line and cut off arc AB = 1 unit.Using Pythagoras Theorem, we have

OB(square) = OA(square) + AB(square)

= OB(square) = (3)square + (1)square 

= OB(square) = 10

OB = root10

With O as the centre and  as radius draw an arc cutting real line at C. Clearly, OC = OB = root10

Thus, C represents root10 on number line..

Hope it will help..

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