Find the value of (5)½ using binomial
approximation (upto 2 terms)
Answers
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Step-by-step explanation:
The value of (8.8)
1/3
=8
1/3
1.1
1/3
=2(1.1)
1/3
=2(1+0.1)
1/3
=2(1+
3
0.1
+
9.2!
−2
(0.1)
2
...∞)
=2(1+
30
1
−
900
1
...∞)
=2+
900
(2)30
−
900
2
...∞
=2+
900
60
−
900
2
...∞
=2+
900
58
...∞
Hence, the value of (8.8)
1/3
correct upto 3 decimal places is
2+
900
58
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