Question

represent 2 root 5 on a number line

Answer 1

Answer

Step-by-step explanation:

Answer 2

Answer: To show the number line with the value of $2\sqrt{5$.

Step-by-step explanation:

Given: The number line and the value of $2\sqrt{5$that we have to represent on it.

To find: Where will the value  $2\sqrt{5}$ lie on the line.

Solution:

• Steps to plot $2\sqrt{5}$ on the number line:
• First, we are required to draw a line segment of any length.
• Mark a point $0$ on it and using a compass plot $1$ cm points on the line segment.
• Draw a right-angled triangle as a rough figure, with lengths $4$ cm and $2$ cm
• According to the pythogarous theory Hypotenuse, AC is equal to the sum of the Square of the other 2 sides
• $AC^{2}$ =$4^{2} + 2^{2}$
• AC =$\sqrt{ 16 +4}$=$\sqrt{20}$ =$2\sqrt{5}$
• Place the compass on $4$ cm on the line segment name it A and draw an arc on both sides
• With the compass cut $2$ points on the arc so formed.
• From these points draw $2$ more arcs to cut each other.Name it B
• Join AB and complete the right-angled triangle by joining the point at $0$.
• OB is now equal to $2\sqrt{5}$.
• With OB as length draw an arc to cut the number line at P.
• Therefore, The point P represents $2\sqrt{5}$ on the number line.

PROJECT CODE: #SPJ3