Question

Draw a number line and show root 5 on it , ( Please explain with full method ) and with diagram.​

Answer 1

$\huge\mathcal\color{green}AnsWer$

Step 1: On the number line, take 2 units from O and represent the point as A.

Step 2: At point A, draw a perpendicular and mark B such that AB = 1 unit.

Step 3: Now, with O as the center and OB as radius, draw an arc to cut the number line at C.

Step 4: Point C represents √5 on the number line.

In △OAB, using Pythagoras theorem, we have

OB² = OA² + AB²

= 2² + 1²

= 5

∴ OB = √5 units

Since, OB = OC = √5 units, therefore, point C represents √5 on the number line.

Answer 2

Answer

$\:\:\:\huge\color{pink}\boxed{\colorbox{black}{AnSwEr}}$

Step 1: On the number line, take 2 units from O and represent the point as A.

Step 2: At point A, draw a perpendicular and mark B such that AB = 1 unit.

Step 3: Now, with O as the center and OB as radius, draw an arc to cut the number line at C.

Step 4: Point C represents √5 on the number line.

In △OAB, using Pythagoras theorem, we have

OB² = OA² + AB²

= 2² + 1²

= 5

∴ OB = √5 units

Since, OB = OC = √5 units, therefore, point C represents  √5 on the number line.

hope this helps u.