Question

Locate √3 on the number line geometrically​

Answer 1

Answer:

Step-by-step explanation:

Step 1- Draw root 2 on the number line

Step 2- From root 2 make a perpendicular of 1 unit

Step 3- Join the point from 0

Step 4- Root 3 if formed

Answer 2

⦁First construct the BD of unit length perpendicular to OB.

ㅤ

⦁Then apply the Pythagoras theorem $\rm{OD = \sqrt{(\sqrt{2})^{2} + 1^{2} = \sqrt{3}}}$

ㅤ

⦁We can locate $\rm{\sqrt{3}}$ on number line by using a compass.

ㅤ

⦁We know that, O is the center and radius OD. Now let's draw an arc which intersects the number line at the point Q.

ㅤ

⦁Therefore, now the point Q = $\rm{\sqrt{3}}$.