Represent $\sqrt{5.6}$ 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,$AC = 6.6 \text{ units}$.
$3$. Find the midpoint $O$ of $AC$. The distance $AO = OC = 3.3 \text{ units}$.
$4$. Draw a semicircle with center $O$ and radius $3.3 \text{ units}$ passing through $A$ and $C$.
$5$. Draw a perpendicular line at point $B$ to $AC$,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. The point where the arc intersects the number line represents $\sqrt{5.6}$.

Explore More

Similar Questions

Convert the following rational number into decimal form and state the kind of its decimal expansion:
$\frac{4}{13}$

Simplify the following:
$(\sqrt{3}-\sqrt{2})^{2}$

$2 \sqrt{3} + \sqrt{3}$ is equal to

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

Find the value of $b$ :
$\frac{\sqrt{2}+\sqrt{3}}{3 \sqrt{2}-2 \sqrt{3}}=2-b \sqrt{6}$

Difficult
View Solution

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