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Offline Centres

Following are the steps to represent $\sqrt{5}$ on the number line. Arrange them in order.

1) Draw OC on line with $l (OC) = l (OB)$ ,

2) Draw $AB⟂OA and l (AB) = 1$

3) Take $l (OA) = 2$

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

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1, 2, 3, 4

2, 4, 1, 3

3, 2, 4, 1

3, 2, 1, 4

answer is D.

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Detailed Solution

Given a number

\sqrt{5}

.
The correct order of representing

\sqrt{5}

on number line is:
Step 1. Take

l (OA) = 2

Step 2. Draw

AB⟂OA and l (AB) = 1

Step 3. Draw

OC

on line with

l (OC) = l (OB)

Step 4.

l (OC) = \sqrt{5}

C

is the required point on real line.
Therefore, option(4) is correct.

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