1 Answer

Robert Atkins · Answer 1 · 2022-10-17T10:12:11+0000

Given:

The given value is
$(1.0004)^{(1)/(2)}$ .

To find:

The value of the given expression by using the Binomial approximation.

Step-by-step explanation:

We have,

$(1.0004)^{(1)/(2)}$

It can be written as:

$(1.0004)^{(1)/(2)}=(1+0.0004)^{(1)/(2)}$

$(1.0004)^{(1)/(2)}=1+(1)/(2)* 0.0004$
$[\because (1+x)^n=1+nx]$

$(1.0004)^{(1)/(2)}=1+0.0002$

$(1.0004)^{(1)/(2)}=1.0002$

Therefore, the approximate value of the given expression is 1.0002.

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