The resulting fraction will be: First, write the decimal number as a fraction like this: The square root of 225 is equal to 15 and the square root of 1000000 is equal to 1000. Since, 69 . Hence, the answer is 6.3. Calculate the positive principal root and negative root of positive real numbers. I like to spend my time reading, gardening, running, learning languages and exploring new places. In the number 39.69, 6 square is equal to 36. Step 1 Write the decimal number and make pairs of integer and fractional parts separately. To find the square root of this decimal we convert it into scientific notation. The square root of 9 is 3, and the square root of 4 is two, so the square root of 6.4 is between 3 and 2, around 2.53. Now, we will subtract 36 from 39 which is equal to 3. Since 9 into 2 is equal to 18, so we will write 18 _ below the divisor. Well, we can use a long division method to find the square root of the complex decimal number. 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 . In the number 29.16, 5 square is equal to 25. We already have two digits 10. Hence, in the decimal number 39.69, 39 is the one pair and 69 is another pair. We will bring down the other pair 69 and put the decimal point in the quotient after 6. Since, 1138 . The third digit should be 3 because 123 . In this article, we will see how to find the square root of a decimal number. Example: Find √ 645 to one decimal place. For example, the square root of 25 is 5 (i.e) when 5 is multiplied by itself, it gives the number 25. Hence, we will find the highest number which is divisible by 1138 but less than 4460. We will stop the division here. √37.0881 = √(370881/10000) Find the square root of the number 67.826. 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 . 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. I am passionate about travelling and currently live and work in Paris. Because has an even exponent, we can divide the exponenet by 2 to get its square root. Since 5 into 2 is equal to 10, so we will write 10 _ below the divisor. Let us see some of the examples below. The third digit should be 2 because 182 . 4 = 116. 2 = 364. We will add zero after the decimal place values to make it even. But if the number is not a perfect square, then it is difficult to find the square root of it. We will bring down the other pair which is 16 and put the decimal point in the quotient. There are many methods to find the square root of a decimal number. Find the number whose pair is less than or equal to the first pair. Find the number whose pair is less than or equal to the first pair. Hence, we will write 9 in the divisor and 9 in the quotient. Now, we will multiply the divisor by 2. Since 8 into 2 is equal to 16, so we will write 16 _ below the divisor. https://www.khanacademy.org/.../v/finding-square-root-of-decimal Find the square root of the number 29.16. Find the square root of the number 39.69 by a long division method. Hence, the answer is 9.2. The answer is 44. We will form the new divisor by writing 1 as it is and multiplying 69 by 2. Square the 2, giving 4, write that underneath the 6, and subtract. 2 = 138, so the new divisor is 1138. First group the numbers under the root in pairs from right to left, leaving either one or two digits on the left (6 in this case). Write 4 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 . We can determine the square root of perfect squares by prime factorisation method. Let us see some of the examples below. Follow these steps to find the square root of this decimal number. 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. Now, we will multiply the divisor by 2. However, you may be wondering what happens when you need to find out the square root of a complex number. Find the number whose pair is less than or equal to the first pair. We need to find out the third digit of the number so that it is completely divisible by the number 364. Find the square root of the number 84.64 by a long division method. For each pair of numbers you will get one digit in the square root. Follow these steps to find the square root of this decimal number 84.64. Now, we will subtract 64 from 67 which is equal to 3. Can u apply steps finding square root of 2287.29 and 0.0016, Finding Square Root Using Long Division Method. We will bring down the other pair which is 64 and put the decimal point in the quotient after 9. 4460 is not completely divisible by 1138. Hence, we then use long division method. Hence, we will write 6 in the divisor and 6 in the quotient. Also tells you if the entered number is a perfect square. Now, we will subtract 81 from 84. The method to find the square root of any number is easy, if the given number is a perfect square. Write 3 in the quotient's place after the decimal point. Since, 169 .2 = 338, so we will write 2 after the decimal point at the quotient's place. 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. The answer is 3. Follow these steps to find the square root of this decimal number 84.64. Now, we will subtract 25 from 29. The symbol used to represent is √. Hence, we can write the fraction like this: Finding the square root by converting the decimal numbers into fractions is very easy. 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. The fractional part of a decimal number is always less than 1. For example, in the decimal number 29.16, 29 is the one pair and 16 is another pair. Subtract 3414 from 4460. Write the decimal number and make pairs of integer and fractional parts separately. In the number 67.8260, 8 square is equal to 64. We already have two digits 18. We will subtract 338 from 382. We can find the square root of decimals by converting it into rational numbers. Find the number whose pair is less than or equal to the first pair. Hence, in the decimal number 67.8260, the pairs are 60, 82 and 60. Hence, the answer is 5.4. Write 2 in the quotient's place after the decimal point. We will bring down the other pair 82 and put the decimal point in the quotient after 8. We need to find out the third digit of the number so that it is completely divisible by the number 369. Now, just multiply your answers 4_2_√5=8√5. The answer is equal to 1046. In the below online square root of decimal numbers calculator, just enter any decimal number and click calculate to know its square root.