Show the number √7 on the number line.

Draw a number line l and mark the points O,A and B such that OA = OB = 1. Draw BC perpendicular to number line such that BC = 1 units. Join OC

In Right OBC,

OC² = OB² + BC²

= (2)² + (1)²

= 5

OC =

Taking O as center and C and C as radius, draw an arc which cuts l in D.

Hence, OC = OD =

Now, draw DE perpendicular number line l such that DE = 1 Units. Join OE.

In Right ,

OE² = OD² + DE²

= ()² + (1)²

^{= 5 + 1}

^{= 6}

Taking O as center and OE as radius, draw an arc which cuts l in F.

Now, Draw GF perpendicular l such that GH = 1 units. Join OG.

In right

OG² = OF² + GF²

= (² + (1)²

= 6 + 1

= 7

OG =

Taking O as center and OG as radius, Draw an arc which cuts l in H.

Hence,

OG = OH =