Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Locate sqroot 5,sqroot 10 and sqroot 17 on the number line

Locate \sqrt{5},\sqrt{10} and \sqrt{17} on the number line

Answers (1)

Hint.   
Solution.        
Step I-  Draw number line shown in the figure.
Let the point O represent 0 (zero) and point A represent 2 units from O.

Step II- Draw perpendicular AX from A on the number line and cut off arc AB = 1 unit
We have OA = 2 units and AB = 1 unit
Using Pythagoras theorem, we have.
OB2 = OA2 + AB2
OB2 = (2)2 + (1)2 = 5
     OB = \sqrt{5}
Taking O as the centre and OB = \sqrt{5} as radius draw an arc cutting the line at C.
Clearly, OC = OB = \sqrt{5}.
Hence, C represents \sqrt{5} on the number line.

Similarly for \sqrt{10}  and \sqrt{17}we can plot the points as follows:
\sqrt{10}= \sqrt{3^{2}+1^{2}}
\sqrt{17}= \sqrt{4^{2}+1^{2}}

 

Posted by

infoexpert27

View full answer

Similar Questions

Latest Question