The third digit should be 2 because 182 . The third digit should be 3 because 123 . Following steps explain finding the square root of the decimal number 29.16 using a long division method: Write the decimal number and make pairs of integer and fractional parts separately. Write 3 in the quotient's place after the decimal point. We need to find out the third digit of the number so that it is completely divisible by the number 364. The fractional part of a decimal number is always less than 1. The previous divisor was 169. Hence, we will write 5 in the divisor and 5 in the quotient. The pair of the integer part of a decimal number is formed from right to left and the pair of the fractional part is formed right from the start of the decimal point. √37.0881 = √(370881/10000) In this article, we will see how to find the square root of a decimal number. 3 = 3414, so we will write 3414 below 4460 and 3 in the quotient's place. Now, we will multiply the divisor by 2. Once you have the factors, get the square root of each number separately . Since 6 into 2 is equal to 12, so we will write 12 _ below the divisor. Hence, we will write 8 in the divisor and 8 in the quotient. 3 = 369. Since 8 into 2 is equal to 16, so we will write 16 _ below the divisor. We will bring down the other pair 69 and put the decimal point in the quotient after 6. Now, we will subtract 81 from 84. The decimal point is a period or dot that acts as a separator between the whole number and fractional part. Hence, we will find the highest number which is divisible by 1138 but less than 4460. The answer is equal to 1046. In the number 29.16, 5 square is equal to 25. Write the decimal number and make pairs of integer and fractional parts separately. Hence, we will write 6 in the divisor and 6 in the quotient. We will bring down the other pair 82 and put the decimal point in the quotient after 8. We will subtract 338 from 382. In this case you can get the square root of 16=4, the square root 4=2, and the square root of 5, since square root of 5 does not have a perfect square is left the same way . We need to find out the third digit of the number so that it is completely divisible by the number 369. The symbol used to represent is √. Find the number whose pair is less than or equal to the first pair. There is no three digit number with 16 in it which is completely divisible by 382. The answer is 3. Now, we will multiply the divisor by 2. Find the number whose pair is less than or equal to the first pair. 2 = 138, so the new divisor is 1138. 4460 is not completely divisible by 1138. 4 = 116. The method to find the square root of any number is easy, if the given number is a perfect square. Decimal numbers have two parts - an integer or a whole number part which is before the decimal point and the fractional point which is after the decimal point. Also tells you if the entered number is a perfect square. Hence, in the decimal number 67.8260, the pairs are 60, 82 and 60. Find the number whose pair is less than or equal to the first pair. In the number 67.8260, 8 square is equal to 64. In the number 84.64, 9 square is equal to 81. Report an Error. I am passionate about travelling and currently live and work in Paris. Hence, the answer is 5.4. We can determine the square root of perfect squares by prime factorisation method. Remove the decimal point and write the decimal number 0.64 as a fraction like this: Now, take the square root of the numerator and the denominator separately: 64 is equal to and 100 is equal to . The square root of a number is defined as the number which when multiplied by itself gives the actual number. Write 2 in the quotient's place after the decimal point. Hence, the answer is 6.3. In the below online square root of decimal numbers calculator, just enter any decimal number and click calculate to know its square root. Since, 69 . Hence, the answer is 9.2. Now, we will subtract 36 from 39 which is equal to 3. For example, in the decimal number 29.16, 29 is the one pair and 16 is another pair. For each pair of numbers you will get one digit in the square root. So, we will take the number 169. Can u apply steps finding square root of 2287.29 and 0.0016, Finding Square Root Using Long Division Method.