Question

locate ✓3 on number line

Answer 1

it can be drawn by taking √ 1²+ √ 2²

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 = $\rm{\sqrt{3}}$