Question

How to root decimal point number

Answer 1

We can find the square root of decimals by converting it into rational numbers.
Examples 

1) √1.44 = √144/√100 = 12/10 = 1.2 

2) √0.0081 = √81/√10000 = 9/100 = 0.09 

3) √37.0881 

Solution: 
First convert 37.0881 into a rational number and then find the square root by prime factorization or long division method.
√37.0881 = √(370881/10000)
But √370881 = 609 
√10000 = 100 
∴ √37.0881 = 609 / 100
= 6.09 

Answer 2

TO FIND THIS WE HAVE TO FOLLOW SOME STEPS:-

Step I: Make the number of decimal places even by affixing a zero on the extreme right of the decimal part (if required). 

Step II: In the integral part, mark the periods as done while finding the square root of a perfect square of some natural number. 

Step III: In the decimal part, mark the periods on every pair of digits beginning with the first decimal place. 

Step IV: Now, find the square root by long division method. 

Step V: Put the decimal point in the square root as soon as the integral part is exhausted. 
___________________________________

HOPE IT HELPS U
MARK AS BRAINLIEST ANSWER.