Represent sqrt{7.5} on the number line. | vedclass

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(A) To represent $\sqrt{7.5}$ on the number line,follow these steps:$1$. Draw a line segment $AB$ of length $7.5 	ext{ units}$.$2$. Extend the line s

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Geometric construction method

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(A) To represent $\sqrt{7.5}$ on the number line,follow these steps:$1$. Draw a line segment $AB$ of length $7.5 	ext{ units}$.$2$. Extend the line segment $AB$ by $1 	ext{ unit}$ to point $C$,such that $BC = 1 	ext{ unit}$. Now,$AC = 8.5 	ext{ units}$.$3$. Find the midpoint $O$ of $AC$. The distance $AO = OC = 4.25 	ext{ units}$.$4$. With $O$ as the center and $OA$ as the radius,draw a semicircle.$5$. Draw a perpendicular line at point $B$ to the line $AC$,which intersects the semicircle at point $D$.$6$. The length $BD$ is equal to $\sqrt{7.5}$.$7$. Using $B$ as the center and $BD$ as the radius,draw an arc on the number line to mark the point representing $\sqrt{7.5}$.

Represent $\sqrt{7.5}$ on the number line.

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