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Question
Show the number √5 on the number line.
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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)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.
RELATED QUESTIONS
Write five rational numbers which are smaller than 2.
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Evaluate:
`4 + 3/(-5)`
Evaluate:
`2 + (-3)/5`
Find the rational numbers represented by the question marks marked on the following number line
Draw a number line and represent the following rational numbers on it
`9/4`
`-3/4` is smaller than –2.
The rational number `57/23` lies to the left of zero on the number line.
The rational number `7/(-4)` lies to the right of zero on the number line.
The rational numbers can be represented on the number line.
