Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. The Task is: Ask the user to enter an integer that is over 500. Given a positive number n and precision p, find the square root of number upto p decimal places using binary search. Here, we use the long division method to obtain the value of the square root of 3. For each iteration, increment changes to 1/10th of it’s previous value. Why is Binary Search preferred over Ternary Search? Experience. Please write to us at contribute@geeksforgeeks.org to report any issue with the above content. This value is widely used in mathematics. Because we can easily find the square root values for perfect squares. You could learn how to solve these problems and more, easily through BYJU’S – The Learning App. Below is the implementation of above approach : edit How to swap two numbers without using a temporary variable? Since root 3 is an irrational number, which cannot be represented in the form of a fraction. Thus, the value of the square root of 3 is 1.732. code. Approach : Time Complexity : The time required to compute the integral part is O(log(number)) and constant i.e, = precision for computing the fractional part. By using our site, you Given a positive number n and precision p, find the square root of number upto p decimal places using binary search. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. Here, we are going to have a look at the value of root and the long division method to find the value of root 3. Find the value of root 3 upto 6 decimal points 2 See answers Golda Golda Please have a look at the attachment for the solution of this question. It explains the process in detail using illustrations and interesting examples. Examples: We have discussed how to compute integral value of square root in Square Root using Binary Search. So, we use the long division method to find the value of the square root of 3. If it is equal to the number, then we found our integral part, else look for the same in left or right side depending upon the scenario. My current code is below I have managed to make it do the square root part but it is not displaying it to 2 decimal places. Don’t stop learning now. 5) Finally return the answer computed. The square root of 3  is represented using the square root or the radical symbol “√”, and it is written as √3. I have computed the square root of 3 upto 7 decimal places instead of 6 decimal places. Attention reader! Since root 3 is an irrational number, which cannot be represented in the form of a fraction.It means that it has an infinite number of decimals. Your email address will not be published. There are even more complex problems to wrap your mind around. 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The value of √3 is approximately equal to 1.732. 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These are just the basics. Note : Prerequisite : Binary search Examples: Input : number = 50, precision = 3 Output : 7.071 Input : number = 10, precision = 4 Output : 3.1622 2) Compare the square of mid integer with the given number. brightness_4 Find Square Root under Modulo p | Set 1 (When p is in form of 4*i + 3), Find Square Root under Modulo p | Set 2 (Shanks Tonelli algorithm), Long Division Method to find Square root with Examples, Find Square Root under Modulo p | (When p is product of two primes in the form 4*i + 3), Floor square root without using sqrt() function : Recursive, Fast method to calculate inverse square root of a floating point number in IEEE 754 format, Square root of a number by Repeated Subtraction method, Min operations to reduce N by multiplying by any number or taking square root, Sum of n digit numbers divisible by a given number, Efficient program to print all prime factors of a given number, Modulo Operator (%) in C/C++ with Examples. Required fields are marked *. Work out the square root of that number and display it to 2 decimal places. Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below. 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. Therefore, overall time complexity is O(log(number) + precision) which is approximately equal to O(log(number)). 1) As the square root of number lies in range 0 <= squareRoot <= number, therefore, initialize start and end as : start = 0, end = number. The square root of 3 is represented using the square root or the radical symbol “√”, and it is written as √3.The value of √3 is approximately equal to 1.732.This value is widely used in mathematics. The numerical value of root 3 is given as follows: √3 = 1.732050807568877293527446341505872366….. To make the calculation easier, the value of root 3 is truncated as 1.732. We use cookies to ensure you have the best browsing experience on our website. 4) Initialize the increment variable by 0.1 and iteratively compute the fractional part upto p places. Generally, before finding the value for the square root of a number, it is necessary to check whether the given number is a perfect square or not. Please use ide.geeksforgeeks.org, generate link and share the link here. Writing code in comment? Note : Prerequisite : Binary search Rounded to three decimal places would be 1.732. It also provides tips and tricks that make you think smarter. close, link In love with a semicolon because sometimes i miss it so badly). The square root of 3 is represented as √3 or 31/2. The square root of 3 in the examples above was calculated using calculators but there are other ways that you can estimate the square root without using a calculator. 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Use ide.geeksforgeeks.org, generate link and share the link here of 3 here! The `` Improve article '' button below you find anything incorrect by clicking on the GeeksforGeeks main and! Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and industry! In the form of a fraction Once we are done with finding the square root of 3 is 1.732 of... With a semicolon because sometimes i miss it so badly ) Learning App –! Represented as √3 or 31/2 the increment variable by 0.1 and iteratively compute the fractional part upto p places incorrect. ’ s – the Learning App form of a fraction p, find the root! Can not be represented in the form of a fraction value for non- perfect,... Explains the process in detail using illustrations and interesting examples '' button below the fractional.... Please use ide.geeksforgeeks.org, generate link and share the link here link brightness_4 code become ready. 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