(i) 2304 Thus, Square root of 2304 = 48Let’s look at individual steps as well Individual Steps are explainedStep 1:Write the numberWe make pairs from right.So, 04 and 23 are two pairs. We will bring down the other pair which is 64 and put the decimal point in the quotient after 9. Group the digits into pairs . Let us see some of the examples below. The decimal point is a period or dot that acts as a separator between the whole number and fractional part. So, is there a particular one you are interested in? From the above picture, finally we got the square root of 104976. We will take down the last pair 60 and hence the new number is 4460. The previous divisor was 169. Follow these steps to find the square root of this decimal number 84.64. Below are the steps explained to find √5: Write number 5 as 5.00000000; Take the number whose square is less than 5. Find the number whose pair is less than or equal to the first pair. In this article, we will see how to find the square root of a decimal number. We will bring down the other pair which is 16 and put the decimal point in the quotient. We will bring down the other pair 69 and put the decimal point in the quotient after 6. Now refer the attached figure for the further steps √6412 = 80.074. Now, we will multiply the divisor by 2. Now, we will multiply the divisor by 2. Since, 169 .2 = 338, so we will write 2 after the decimal point at the quotient's place. Finding square roots through reducing square roots Repeated Subtraction Method In this method the given number is subtracted by 1,3,5,7,… at every step till you get zero at the end. 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 6 into 2 is equal to 12, so we will write 12 _ below the divisor. Worksheet on Square root using the long division method which helps the students to prepare for the exams or any other tests. 3 = 3414, so we will write 3414 below 4460 and 3 in the quotient's place. Finding Square Root Using Long Division Method. Your IP: 192.241.211.29 2) 16384. Now, we will multiply the divisor by 2. 9) 106276. Ex 6.4, 1 Find the square root of each of the following numbers by Division method. In the number 67.8260, 8 square is equal to 64. Hence, we can write the fraction like this: Finding the square root by converting the decimal numbers into fractions is very easy. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. We will stop the division here. 1) 12321. Write the decimal number and make pairs of integer and fractional parts separately. I am passionate about travelling and currently live and work in Paris. Another way to prevent getting this page in the future is to use Privacy Pass. 6) 2116. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. First, like every other number (except for zero), 6241 has two square roots. Can u apply steps finding square root of 2287.29 and 0.0016, Finding Square Root Using Long Division Method. 4) 474721. Hence, we will write 5 in the divisor and 5 in the quotient. Since 9 into 2 is equal to 18, so we will write 18 _ below the divisor. Online calculator which calculates the square root of a given number using Long Division (LD) method. What is the square root of 6241 by division method? So, we will take the number 169. We will add zero after the decimal place values to make it even. In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. In the number 84.64, 9 square is equal to 81. Hence, the answer is 9.2. Find the number whose pair is less than or equal to the first pair. 3 = 369. • Write 3 in the quotient's place after the decimal point. The answer is 44. Subtract 4 from 5, you will get the answer 1. 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. Find the square root of the number 29.16. Since 5 into 2 is equal to 10, so we will write 10 _ below the divisor. However, you may be wondering what happens when you need to find out the square root of a complex number. We will form the new divisor by writing 1 as it is and multiplying 69 by 2. Hence, in the decimal number 67.8260, the pairs are 60, 82 and 60. There is no three digit number with 16 in it which is completely divisible by 382. The answer is equal to 1046. Hence, we will find the highest number which is divisible by 1138 but less than 4460. Find the square root of the number 67.826. SO, we have 64 12. Hence, in the decimal number 84.64, 84 is the one pair and 64 is another pair. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. 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. Now, we will subtract 25 from 29. We already have two digits 10. Find the square root of the number 39.69 by a long division method. Find the number whose pair is less than or equal to the first pair. The number of steps gives you the square root. Hence, the answer is 6.3. We will subtract 338 from 382. I like to spend my time reading, gardening, running, learning languages and exploring new places. Example 3: Find square root of 5 using long division method. 3) 65536. 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. Follow these steps to find the square root of this decimal number. We will bring down the other pair 82 and put the decimal point in the quotient after 8. Practice Problems. Hence, 2 2 = 4 and 4<5; Divide 5 by such that when 2 multiplied by 2 gives 4. For digits to the left of the decimal point, pair them from right to left. Well, we can use a long division method to find the square root of the complex decimal number. The answer is 4. • 10) 278784. Write 4 in the quotient's place. 1) Finding square roots through reducing square roots. Now, we will multiply the divisor by 2. Find the number whose pair is less than or equal to the first pair. Now, we will subtract 36 from 39 which is equal to 3.

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