Question

How to represent root 2 on number line with steps?

Answer 1

Construction :

1.draw a number line. Mark the centre point as O.

2.consider a unit square OABC.

3.by pythagoras theorem that OB route 1^2+1^2=route2.

4. With O as a centre OB as radius draw an arc intersecting a number line P.

5. P correspond route 2

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Answer 2

Answer:

Steps mention below

Step-by-step explanation:

Step 1: First, we draw a line OA of length 1

Step 2: Now, we draw a perpendicular of length 1 on point A as AB

Step 3:  From, Pythagoras Theorem, OB = √2

Step 4: Now, take an arc of length OB, and draw it on the number line which meets as E.

So, at E, we can represent √2 as shown in the figure.