Question

Find the square root of 1.8 up to three decimal places.

STEPS TO BE SHOWN OR WILL BE REPORTED

(Please answer as fast as possible)

Answer 1

$Given : \sqrt{1.8}$

$= \ \textgreater \ \sqrt{ \frac{18}{10} }$

$= \ \textgreater \ \sqrt{ \frac{9}{5} }$

$= \ \textgreater \ \frac{ \sqrt{9} }{ \sqrt{5} }$

$= \ \textgreater \ \frac{3}{ \sqrt{5} }$

On rationalizing, we get

$= \ \textgreater \ \frac{3}{ \sqrt{5} } * \frac{ \sqrt{5} }{ \sqrt{5} }$

$= \ \textgreater \ \frac{3 \sqrt{5} }{ \sqrt{5} * \sqrt{5} }$

$= \ \textgreater \ \frac{3 \sqrt{5} }{5}$

$= \ \textgreater \ \frac{3 * 2.2360}{5}$

$= \ \textgreater \ \frac{6.70800}{5}$

= > 1.3416.


Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks