Question

Locate square root 13 on a number line.

Answer 1

Step-by-step explanation:

Given :-

√13

To find:-

Represent √13 on the number line

Solution:-

Given number =√13

see the attachment

• Consider a rectangle OABC of 3 units length and 2 units of breadth.

• Construct a rectangle with OA =BC = 3 units. and OC =AB = 2 units

• Join OB .

• ∆OAB is a right angled triangle, By Pythagoras theorem,
• OB^2=OA^2+AB^2

• OB^2=3^2+2^2
• OB^2 =9+4
• OB^2=13
• OB=√13
• K represents the number√13 on the number line.
• √13=3.605...
• Pythagoras theorem:In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides