Step-by-step explanation:
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.
[tex] \mathsf\color{blue} { Do\: Follow}[/tex]
[tex]\mathsf\color{blue}{Mark\:As\:Brainlist}[/tex]
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Answers & Comments
Step-by-step explanation:
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.
[tex] \mathsf\color{blue} { Do\: Follow}[/tex]
[tex]\mathsf\color{blue}{Mark\:As\:Brainlist}[/tex]