Question

Locate √2 on the number line.

Answer 1

On the number line, in the figure, we have marked two points O and A representing numbers 0 and 1 respectively.

We draw AB = 1 unit ⊥r to the number line at A.

Now, join OB, we find that

OB = √(OA² + AB²) = √(1² + 1²) = √2

Now taking O as centre and radius OB = √2, we draw an are which intersect the number line at the point L.

We observe that OL = radius = √2.

Therefore, point L on the number line represents the irrational number √2.