Question

Represent $\sqrt{10}$ on number line.

Answer 1

Let X'OX be a horizontal line taken as the x-axis and O be the origin representing 0.
Take OA = 3 units and AB ⊥ OA, such that AB = 1 unit.
Join OB.
Now,
OB = $\sqrt{O{A}^2+A{B}^2}=\sqrt{3^2+1^2}=\sqrt{10}$ units
Taking O as the centre and OB as the radius, draw an arc, meeting OX at P.
We have:
OP = OB = $\sqrt{10}$ units
Thus, point P represents $\sqrt{10}$ on the number line.