Question

Show how `sqrt5` can be represented on the number line.

Answer 1

Draw a number line and take points O and A on it such that OA = 1 unit.

Draw BA ⊥ OA as BA = 1 unit.

Join OB = `sqrt2` units.

Now draw BB₁ ⊥ OB such that BB₁ =1 unit.

Join OB₁ = `sqrt3` units.

Next, draw B₁B₂ ⊥ OB₁ such that B₁B₂ = 1 unit.

Join OB₂ = 1 unit.

Join OB₂ = `sqrt4` units.

Again, draw B₂B₃ ⊥ OB₂ such that B₂B₃ = 1 unit.

Join OB₃ = `sqrt5` units.