Question

Find the value of (0.996)1/4​

Answer 1

Answer:

0.999

Explanation:

To solve this question we will use bionomial theorem.

So 0.996 can be written as 1-0.004

Here 0.004<<1

So if o.004<<1 then (1-0.004)^1/4 it can be written as 1-1/4*0.004

=1-0.001

=0.999

[NOTE - THIS VALUE IS APRROXIMATE NOT ACCURATE]

Answer 2

Answer:

0.999

Explanation:

0.996^ 1/4

(1- 0.004)^ 1/4

(1- 0.004/4)

...Using the formulae- (1+u)^n = 1+ nu...

1- 0.001

= 0.999

Hope this helps!