Question

Represent root 10 on number line steps of construction​

Answer 1

considere a number line . Let the point O represent O 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 theoram ,

We have

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

= OB ( square) = (3) square + (1) square

= OB (square) = 10

OB = root 10

with O as the centre and as radius draw an arc cutting real line at C , clearly , OC= OB = root 10

Thus, C represent root 10 on the number line.