Step 5: Now add 2 in divisor to make it 4. To find the square root of a number, we have to inverse the process of squaring the number, which is the formula to find it. Check below the step-by-step procedure of long division method to find the square root of 5. Student’s can also download BYJU’S – The Learning App and experience a new method of learning Maths topics and other subject related topics with the help of video lessons presented by our expert teachers. Concept: Finding Square Root by Division Method. 121 = square of a number 11 = 11 × 11 = 11, You can also find some of the examples for perfect square numbers in the. Given a positive number n and precision p, find the square root of number upto p decimal places using binary search. Step 5: Now add the divisor part with the same number that we have taken already, .i.e. Step 7: Finally, you get the quotient value as 1.41421 which is approximately equal to 1.414. If the given number is not a square number, then the value should take either radical form or decimal form. Round to the Nearest Hundredth: 3.141. Finding the square root of the perfect square number is easier than the non-perfect square numbers. We use that Thus, Square root of 17.64 = 4.2 Square root of 1.125 by long division Therefore, Square root of 1.125 = 1.060… Here, we can find square root upto more decimal digits. Evaluation or calculation of the square root of the perfect square number is easier than the non-perfect square numbers. So, the remainder is 16. In this section, will see how to find the value of root 5. Step 3: Write the number 2 in both divisor and quotient place, such that when 2 multiplied by 2 gives 4. Step 2: Take the perfect square which is below 2. The symbol used to denote the square root is ‘√’. Your email address will not be published. Your email address will not be published. Note : Prerequisite : Binary search Examples: Input : number = 50, precision = 3 Output : 7.071 Input : number = 10, precision = 4 Output : 3.1622 In this section, will see how to find the value of root 5. So, the value of root 2 is equal to 1.414. Step 7: Finally, you get the quotient value as 1.41421 which is approximately equal to 1.414. I have computed the square root of 3 upto 7 decimal places instead of 6 decimal places. . But, we stop at 3 digits after decimal point Find a number which is less than Or equal to 164 81 × 1 = 81 82 × 2 = 164 Since 82 × 2 = 164. Step 4: Next write down two zeros and write down after 1 and take the decimal point after 1 in the quotient. So, the value of root 2 is equal to 1.414. The number underneath the radical symbol is called as radicand. The steps for finding the value of root 2 is given below: Step 1: The number 2 can be written as 2.000000, i.e., 2 = 2.000000. Therefore, the value of root 5 is, √5 = 2.2360… Or √5 ≈ 2.24. 1, we will get 2 and write down the number in the divisor place opposite to 100. It is possible to find the value of roots of any number, by the help of the long division method. It’s difficult to find the square root value for the non-perfect square numbers i.e., 3, 5, 7, 10 etc., in general. 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