Question

square root of 194491 with explaination

Answer 1

$\sqrt194491 = a$
To find any root just apply this equation,
$\sqrt195364 = b$
$\sqrt194491 = \sqrt{b} + \frac{a - b}{2 \times \sqrt{b} }$
$= 442 + \frac{194491 - 195364}{2 \times 442}$
$= 442 + \frac{ - 873}{884}$
$= \frac{389855}{884}$
$= 441.01$