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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
Observe the number line and answer the questions.
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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
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The rational number `57/23` lies to the left of zero on the number line.
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