Question

square root of 0.053361 by long division method

Answer 1

Answer:

 

Step-by-step explanation:

we have to find the square root of 0.053361 by long division method.

Steps for long division are:

Step 1: Put a bar over every pair of digits starting from the last. Here, single bar is place at 5.

Step 2 : Take the largest number whose square is less than or equal to the 1st number, here it is 2.

Step 3: Drop down the number under the next bar (i.e., 33 in this case) to the right of the remainder. So the new dividend is 133.  

Step 4 : Add the divisor 2 and quotient 2 that that results to 4 and think of a largest number that put after 4 in such a way that the product of a new divisor and this digit is equal to or less than 133.

In this case 43 × 3= 129

Step 6 :Repeat step 3 and 4 till the remainder is 0.

$\sqrt{0.053361}=\sqrt{\frac{53361}{1000000}}$

                        =$\frac{\sqrt{53361}}{\sqrt{1000000}}$

                        =$\frac{\sqrt{53361}}{1000}$

                        =$\frac{231}{1000}=0.231$