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प्रश्न
Show the number √5 on the number line.
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उत्तर
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.
संबंधित प्रश्न
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
Evaluate:
`5/(-11) + 0`
Show the following numbers on a number line.
`7/3, 2, (-2)/3`
The points S, Y, N, C, R, A, T, I and O on the number line are such that CN = NY = YS and RA = AT = TI = IO. Find the rational numbers represented by the letters Y, N, A, T and I
Draw a number line and represent the following rational numbers on it
`9/4`
The rational number `7/(-4)` lies to the right of zero on the number line.
The rational number `(-8)/(-3)` lies neither to the right nor to the left of zero on the number line.
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
Find a rational number exactly halfway between:
`1/6` and `1/9`
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
