Question

Locate √3 on the number line.​

Answer 1

✯✯ QUESTION ✯✯

Locate √3 on the number line.

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✰✰ ANSWER ✰✰

⠀⠀⠀⠀(Refer to the Attachment)

☛By Pythagoras theorem : -

$\longmapsto\tt{\sqrt{(\sqrt{2)}^{2}+{1}^{2}}}$

$\longmapsto\tt{\sqrt{3}}$

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Answer 2

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

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

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

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⦁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.

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