Since 8 into 2 is equal to 16, so we will write 16 _ below the divisor. SO, we have 64 12. To determine the long division method, we will first divide the digits of the number into pairs of segments, starting with the digit in the units place. 4460 is not completely divisible by 1138. Find the square root of the number 29.16. For example, in the decimal number 29.16, 29 is the one pair and 16 is another pair. • 4) 474721. Follow these steps to find the square root of this decimal number 84.64. 2 = 364. Find the number whose pair is less than or equal to the first pair. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Online calculator which calculates the square root of a given number using Long Division (LD) method. Since 5 into 2 is equal to 10, so we will write 10 _ below the divisor. We need to find out the third digit of the number so that it is completely divisible by the number 369. However, you may be wondering what happens when you need to find out the square root of a complex number. Since, 69 . Since 9 into 2 is equal to 18, so we will write 18 _ below the divisor. We will add zero after the decimal place values to make it even. Well, we can use a long division method to find the square root of the complex decimal number. Write 4 in the quotient's place. Group the digits into pairs . Hence, we will write 6 in the divisor and 6 in the quotient. Hence, 2 2 = 4 and 4<5; Divide 5 by such that when 2 multiplied by 2 gives 4. 8) 7744. Now we are supposed to find the square root of 6412. Performance & security by Cloudflare, Please complete the security check to access. The number of steps gives you the square root. You may need to download version 2.0 now from the Chrome Web Store. In this article, we will see how to find the square root of a decimal number. Now, we will multiply the divisor by 2. Hence, we will write 5 in the divisor and 5 in the quotient. Can u apply steps finding square root of 2287.29 and 0.0016, Finding Square Root Using Long Division Method. Now, we will subtract 25 from 29. Now, we will subtract 36 from 39 which is equal to 3. Hence, we will write 8 in the divisor and 8 in the quotient. 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. The decimal point is a period or dot that acts as a separator between the whole number and fractional part. We will subtract 338 from 382. First, like every other number (except for zero), 6241 has two square roots. The third digit should be 4 because 104 . Write the decimal number and make pairs of integer and fractional parts separately. Cloudflare Ray ID: 5f99ff8ad914ed33 In the number 84.64, 9 square is equal to 81. I am passionate about travelling and currently live and work in Paris. The answer is 3. 4 = 116. Practice Problems. (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. There is no three digit number with 16 in it which is completely divisible by 382. We will take down the last pair 60 and hence the new number is 4460. Find the number whose pair is less than or equal to the first pair. Now refer the attached figure for the further steps √6412 = 80.074. 3 = 369. Hence, in the decimal number 84.64, 84 is the one pair and 64 is another pair. Find the square root of the number 84.64 by a long division method. 2) 16384. We will bring down the other pair which is 64 and put the decimal point in the quotient after 9. Your IP: 192.241.211.29 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. The answer is 44. For digits after decimal point, pair them from left to right. We need to find out the third digit of the number so that it is completely divisible by the number 416. So, is there a particular one you are interested in? 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 . Hence, in the decimal number 67.8260, the pairs are 60, 82 and 60. Subtract 4 from 5, you will get the answer 1. 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. Well, we can use a long division method to find the square root of the complex decimal number. Since, 169 .2 = 338, so we will write 2 after the decimal point at the quotient's place. 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. We will form the new divisor by writing 1 as it is and multiplying 69 by 2. We will bring down the other pair which is 16 and put the decimal point in the quotient. Hence, the square root of 104976 is . The answer is equal to 1046. Hence, the answer is 6.3. Hence the square root of 6412 is 80.074 1) 12321. Ex 6.4, 1 Find the square root of each of the following numbers by Division method.

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