Question

Following are the steps to represent $\sqrt{5}$ on number line.
Arrange them in order.
1) Draw OC on line with $l\left(OC\right)=l\left(OB\right)$,
2) Draw $AB\perp OAandl\left(AB\right)=1$
3) Take $l\left(OA\right)=2$
4) $l\left(OC\right)=\sqrt{5}$, C is required point on real line.

• A. $1,2,3,4$
• B. $2,4,1,3$
• C. $3,2,4,1$
• D. $3,2,1,4$

Answer 1

Answer: (D)

$3,2,1,4$

The correct order of representing $\sqrt{5}$ on number line is

Step 1. Take $l\left(OA\right)=2$.

Step 2. Draw $AB$$\perp$$OAandl\left(AB\right)$ $=1$

Step 3. Draw $OC$ on line with $l\left(OC\right)=l\left(OB\right)$

Step 4. $l\left(OC\right)=$ $\sqrt{5}$, $C$ is the required point on real line

Therefore, option(D) is correct.