Question

Where would the number $\sqrt{2}$ lie on the number line?

• A. between $0$ and $1$
• B. between $1$ and $2$
• C. between $2$ and $3$
• D. between $-1$ and $0$

Answer 1

The correct option is B

between $1$ and $2$

When we take the $OA=1unit$and draw a perpendicular to $OA$ at $1$ such that $AB=1unit$, then $OB=\sqrt{2}$. If we draw an arc with centre $O$ and radius $OB$, the point at which the arc cuts the number line will represent $\sqrt{2}$ on the number line and the point lies between 1 and 2.