approximation of √0.6
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Answered by
14
The square root of 0.6 is 0.77459666924148. Or,
√0.6 = 0.77459666924148
√0.6 = 0.77459666924148
GLENNDAY:
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aproximation se karo with step
please
Let y=0.6−−−√
⇒y=x−−√
x=0.64
Δx=−0.04
Δy=x+Δx−−−−−−√−x−−√
=0.64+(−0.04)−−−−−−−−−−−−√−0.64−−−−√
=0.6−−−√−0.8
0.6−−−√=Δy+0.8
0.6−−−√=Δy+0.8------(1)
Step 2:
dy is the approximate value of Δy
dy=dydx×Δx
dydx=12x−−√[Differentiating with respect to x]
dy=12x−−√.(−0.04)
=−0.0420.64−−−−√
=−0.042×0.8
=−0.025
Step 3:
Substitute the value of dy in equation (1)
0.60−−−−√=0.8−0.025
=0.775
⇒y=x−−√
x=0.64
Δx=−0.04
Δy=x+Δx−−−−−−√−x−−√
=0.64+(−0.04)−−−−−−−−−−−−√−0.64−−−−√
=0.6−−−√−0.8
0.6−−−√=Δy+0.8
0.6−−−√=Δy+0.8------(1)
Step 2:
dy is the approximate value of Δy
dy=dydx×Δx
dydx=12x−−√[Differentiating with respect to x]
dy=12x−−√.(−0.04)
=−0.0420.64−−−−√
=−0.042×0.8
=−0.025
Step 3:
Substitute the value of dy in equation (1)
0.60−−−−√=0.8−0.025
=0.775
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Answered by
6
approx square root of 0.6 = 0.78
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it is the question of application of derivative
so please solve this in that manner
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