5th power of 6th root of 126
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Answer:
MATHS
Find the cube root of 126 to 5 places of decimals.
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ANSWER
(126)
5
1
=(5
3
+1)
3
1
=5(1+
5
3
1
)
3
1
=5(1+
3
1
⋅
5
3
1
−
9
1
⋅
5
6
1
+
81
5
⋅
5
9
1
−....)
=5+
3
1
⋅
5
2
1
−
9
1
⋅
5
5
1
+
81
5
⋅
5
7
1
−....
=5+
3
1
⋅
10
2
2
2
−
9
1
⋅
10
5
2
5
+
81
1
⋅
10
7
2
7
−....
=5+
3
⋅04
−
9
⋅00032
+
81
⋅0000128
−...
5+⋅0133333...−⋅000035...+...
=5⋅01329, to five places of decimals.
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