Question

5th power of 6th root of 126​

Answer 1

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.