Question

Find the square root of 0.0625 by long division method

Answer 1

Given :   0.0625

To find : square root

Solution:

 

                       0.25                          

                       0.0625

         0            0

                   ______

                        006

         02            04

                     ______

                             225

        045              225

                      _______

                               0

 

√0.0625  =  0.25

0.0625  =  625/10000

= 5 * 5 * 5 * 5 / 10 * 10  * 10 * 10

= 5²  * 5² /10² * 10²

= 25²/100²

= (25/100)²

= (0.25)²

√0.0625  =  0.25

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Answer 2

$\mathfrak{Answer:}$

$\tt{0.0625=\dfrac{625}{10000}}\\\\\\\tt{So}\\\\\textsf{It's Square root =} \tt{\sqrt{\dfrac{625}{10000}} }\\\\\\\tt{=\dfrac{25}{100}=0.25}$