Question

Locate Square root 3 on the number line

Answer 1

Answer:

Step-by-step explanation:

Take 0 as O and 1 as A, make a perpendicular at A of length Taken in making OA name the end of perpendicular line B, now join B&O and make a right angle triangle.

Now draw an arc on B starting from O to the number line. This is root 2.

Now do the same thing again but The perpendicular A and B is made on the point where root 2 is.

Answer 2

⦁First construct the 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 = $\rm{\sqrt{3}}$