Question

find the approximate value of
$\sqrt{25.001}$
​

Answer 1

Step-by-step explanation:

5.01 is approximately the answer of this question

Answer 2

approximate value of  $\sqrt{25.001}$ is 5.0001

Step-by-step explanation:

given data

$\sqrt{25.001}$  

solution

we consider here x = 25

and here y = $\sqrt{x}$  

so now we differentiate with respect to time

$\frac{dy}{dx} = \frac{1}{2\sqrt{x}}$    

so dy = $\frac{1}{2\sqrt{x}} dx$  

and here

Δy = $\frac{1}{2\sqrt{x}} \Delta x$    .............2

put here value

Δy = $\frac{1}{2\sqrt{25}} (25.001- 25)$  

Δy = 1 × $10^{-4}$  

so here y = $\sqrt{x}$ + Δy  

y = $\sqrt{25} + 1 \times 10^{-4}$

y = 5.0001

learn more :

approximate value of  $\sqrt{25.001}$

1. https://brainly.in/question/3748128