Question

find the value of (1.006)^1/3
by bionominal therom

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Answer 1

Step-by-step explanation:

See in the picture for the answer.

Hope it is helpful.

Answer 2

Answer:

(1.006)$^{\frac{1}{3} }$=1.002

Step-by-step explanation:

Given, (1.006)$^{\frac{1}{3} }$

To find value by binomial theorem.

Recall: the expansion by binomial theorem is given by:

$(1+x)^{n}=1+nx+\frac{n(n-1)}{2!}x^{2} +...$

(1.006)$^{\frac{1}{3} }$=(1+0.006)$^{\frac{1}{3} }$

Here, n=1/3, x= 0.006.

(1+0.006)$^{\frac{1}{3} }$=1+1/3(0.006)

               =1+0.002

               =1.002

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