Maharashtra State BoardSSC (English Medium) 8th Standard
Advertisement Remove all ads

Show the Number √5 on the Number Line. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

Show the number √5 on the number line. 

Advertisement Remove all ads

Solution

Draw a number line as shown in the figure. Let the point O represent 0 and point Q represent 2. Draw a perpendicular QR at Q on the number line such that QR = 1 unit. Join OR. Now, ∆OQR is a right angled triangle. 
By Pythagoras theorem, we have
OR2 = OQ2 + QR2
= (2)+ (1)2
= 4 + 1
= 5
∴ OR = √5
Taking O as the centre and radius OR = √5, draw an arc cutting the number line at C.
Clearly, OC = OR = √5
Hence, C represents √5 on the number line.

Concept: Rational Numbers on a Number Line
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 1 Rational and Irrational numbers
Practice Set 1.4 | Q 2 | Page 6
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×