Question

Locate √3 on the number line.​

Answer 1

Construct BD of 1 unit length perpendicular to OB as fig. Join OD

By Pythagoras theorem, OD=

( 2 ) 2+1 2= 2+1= 3

Using a compass, with centre O and radius OD, draw an arc which intersects the number line at the point L right side to 0. Then ′L ′corresponds to

3 . From this we can conclude that many

points on the number line can be represented by irrational numbers also. In the same way, we can

locate for any positive integers n, after n−1

Answer 2

Answer:

Steps of construction :-

Step 1. Take 1 unit from “0” and draw a perpendicular at that point.

Step 2. Join line ie., hypotenuse

Step 3. Keep compass point on “0” and pencil point on top of triangle and draw an arc.

Step 4. The point obtained is √2

Step 5. Now draw 1 unit perpendicular at √2 and similarly draw hypotenuse.

Step 6. Similarly draw an arc as we did in √2 case and point obtained on number line is √3.

Step-by-step explanation:

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