The number 2 is shown on a number line. Steps are given to show 3 on the number line using 2. Fill in the boxes properly and complete the activity.Activity:∙ The point Q on the number line shows the number ........∙ A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.∙ Right angled ∆ ORQ is obtained by drawing seg OR.∙ l(OQ) = 2, l(QR) = 1∴ by Pythagoras theorem,[l(OR)]2 = [l(OQ)]2 + [l(QR)]2= 0 2 + 0 2 = 0 + 0 = 0 ∴ l(OR) = 0 Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number line 3.

The number 2 is shown on a number line. Steps are given to show 3 on t

1.	The number 2 is shown on a number line. Steps are given to show 3 on the number line using 2. Fill in the boxes properly and complete the activity.Activity:∙ The point Q on the number line shows the number ........∙ A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.∙ Right angled ∆ ORQ is obtained by drawing seg OR.∙ l(OQ) = 2, l(QR) = 1∴ by Pythagoras theorem,[l(OR)]2 = [l(OQ)]2 + [l(QR)]2= 0 2 + 0 2 = 0 + 0 = 0 ∴ l(OR) = 0 Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number line 3.
Answer» The number $\sqrt{2}$ is shown on a number line. Steps are given to show $\sqrt{3}$ on the number line using $\sqrt{2}$ . Fill in the boxes properly and complete the activity. Activity: ∙ The point Q on the number line shows the number ........ ∙ A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line. ∙ Right angled ∆ ORQ is obtained by drawing seg OR. ∙ l(OQ) = $\sqrt{2}$ , l(QR) = 1 ∴ by Pythagoras theorem, [l(OR)]² = [l(OQ)]² + [l(QR)]² = $0$ ² + $0$ ²= $0$ + $0$ = $0$ ∴ l(OR) = $0$ Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number line $\sqrt{3}$ .

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