Question

Find the square root of 39204​

Answer 1

Step-by-step explanation:

Hint: Here we will use the long division method to find out the square root of the number. First, we will pair the digits of the numbers then we will divide it to get its square root. The square root of a number is the factor that we multiply by itself two times to get that number.

Complete step-by-step answer:

Given number is 39204−−−−−√

.

First, we will pair the digits of the number given. As the number is an odd digit number. Therefore the first digit is keep as a single and the other digits are paired, we get

3¯¯¯92¯¯¯¯¯04¯¯¯¯¯−−−−−−√

Now we will divide the pairs with their maximum divisor. Therefore firstly we will divide the 3 with the maximum divisor, we get

1

1)1¯¯¯92¯¯¯¯¯04¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯1–

292

Now, with the remain of the first division the next pair of digits get in and now we will divide this number with the maximum divisor, we get

19

1)1¯¯¯92¯¯¯¯¯04¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯1–

29)292¯¯¯¯¯¯¯¯261−−−

03104

Now, again with the remain of the second division the next pair of digits get in and now we will divide this number with the perfect divisor, we get

198

1)1¯¯¯92¯¯¯¯¯04¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯1–

29)292¯¯¯¯¯¯¯¯261−−−

388)03104¯¯¯¯¯¯¯¯¯¯¯¯3104−−−−

0

So, we can see that the square root of the given number is equal to 198.

Hence the value of 39204−−−−−√

is equal to