Represent the number $\sqrt{5.6}$ geometrically on the number line.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To represent $\sqrt{5.6}$ on the number line,follow these steps:
$1$. Draw a line segment $AB = 5.6 \text{ units}$ on the number line.
$2$. From point $B$,mark a point $C$ such that $BC = 1 \text{ unit}$. Now,$AC = 5.6 + 1 = 6.6 \text{ units}$.
$3$. Find the midpoint $O$ of $AC$. The length $AO = OC = 6.6 / 2 = 3.3 \text{ units}$.
$4$. Draw a semicircle with center $O$ and radius $OA = 3.3 \text{ units}$.
$5$. 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 $\sqrt{5.6}$.
$7$. With $B$ as the center and $BD$ as the radius,draw an arc on the number line to intersect it at point $E$. The distance $BE$ represents $\sqrt{5.6}$ on the number line.

Explore More

Similar Questions

Represent $\sqrt{20}$ on the number line.

Find four rational numbers between $\frac{2}{9}$ and $\frac{2}{7}$.

Find the value of $\frac{4}{(216)^{-\frac{2}{3}}} + \frac{1}{(256)^{-\frac{3}{4}}} + \frac{2}{(243)^{-\frac{1}{5}}}$.

Rationalise the denominator of the following: $\frac{\sqrt{40}}{\sqrt{3}}$

State whether the following statement is true or false:
Every whole number is a rational number.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo