Wikipedia
calculate square root : Many of the methods for calculating square roots of a positive real number S require an initial seed value. If the initial value is too far from the actual ..... More from Wikipedia
Root mean square speed
The root mean square speed is expressed by the relationship, The root mean square speed is commonly used and can be calculated from the following relations:..
The root mean square speed is expressed by the relationship, The root mean square speed is commonly used and can be calculated from the following relations:..Find the square root of 36.
Find the square root of 36. => 36 or 1,296 or 6 or 72..
this is a pretty easy method to find the square root of any number, a website showing this better is www.nist.gov
This video shows a technique for calculating a square root by hand, without a calculator. It actually calculates each decimal place with perfect precision. The basis for why this process works is purely algebraic. When I figure this out for cube roots I will post a video on that as well.
Question : can anyone tell me how to calculate square roots without using a calculator???????????
and please workout a example for me please.
Answer : The most common method for calculating a square root is given by the "divide and average" rule. The fact that this method will always converge to the positive square root of a number can be proved using calculus. In fact, this method can be derived directly using Newton's method on the function f(x) = sqrt(x) - c. Anyway.... to proceed... suppose we want to find the square root of x. We perform the following iterative procedure: 1. Start with any positive number y. You should make y close to the estimated square root of x to reduce the number of steps. 2. Replace y with the average of y and x/y, namely (y + x/y)/2 If you want the method to converge, an approximation to this value is sufficient. 3. Repeat step 2 until y and x/y are as close as desired. ===== Example: Suppose we want to calculate the square root of x=12. 1. The square root of 9 is 3 so let's start with y=3. 2a. (3 + 12/3)/2 = (3 + 4)/2 = 7/2 = 3.5 2b. (3.5 + 12/3.5)/2 = (3.5 + 3.4)/2 = 3.45.... More from Yahoo Answers
Answer : The most common method for calculating a square root is given by the "divide and average" rule. The fact that this method will always converge to the positive square root of a number can be proved using calculus. In fact, this method can be derived directly using Newton's method on the function f(x) = sqrt(x) - c. Anyway.... to proceed... suppose we want to find the square root of x. We perform the following iterative procedure: 1. Start with any positive number y. You should make y close to the estimated square root of x to reduce the number of steps. 2. Replace y with the average of y and x/y, namely (y + x/y)/2 If you want the method to converge, an approximation to this value is sufficient. 3. Repeat step 2 until y and x/y are as close as desired. ===== Example: Suppose we want to calculate the square root of x=12. 1. The square root of 9 is 3 so let's start with y=3. 2a. (3 + 12/3)/2 = (3 + 4)/2 = 7/2 = 3.5 2b. (3.5 + 12/3.5)/2 = (3.5 + 3.4)/2 = 3.45.... More from Yahoo Answers
Question : I know what square roots are but I'm wondering how to calculate them other than pressing the square root key of a calculator.
Answer : If you want good approximations, the following works quickly and has been used to find approximate square roots by hand: Suppose you want to find the square root of 5. You know it is between 2 and 3, so take x=2 as your first approximation. Now, if you have an approximation x, get a better approximation by taking the average of x and 5/x: new approx=(x+5/x)/2=(x^2 +5)/(2x). With x=2, we get 9/4=2.25. The next approximation will then be ((9/4)^2 +5 )/(2*9/4)=161/72=2.236111.. Then next approximation will then be [(161/72)^2 +5]/[2*161/72]= 51841/23184=2.2360679779... Since sqrt(5)= 2.23606797749... this is a very good approximation. One more time through the averaging will give at least 16 decimal place accuracy. To find the square root of any other number, replace 5 by the number you want to find the square root of. There is also a proceedure similar to long division which will give the square root one decimal place at a time,but it is a bit hard to describe in this .... More from Yahoo Answers
Answer : If you want good approximations, the following works quickly and has been used to find approximate square roots by hand: Suppose you want to find the square root of 5. You know it is between 2 and 3, so take x=2 as your first approximation. Now, if you have an approximation x, get a better approximation by taking the average of x and 5/x: new approx=(x+5/x)/2=(x^2 +5)/(2x). With x=2, we get 9/4=2.25. The next approximation will then be ((9/4)^2 +5 )/(2*9/4)=161/72=2.236111.. Then next approximation will then be [(161/72)^2 +5]/[2*161/72]= 51841/23184=2.2360679779... Since sqrt(5)= 2.23606797749... this is a very good approximation. One more time through the averaging will give at least 16 decimal place accuracy. To find the square root of any other number, replace 5 by the number you want to find the square root of. There is also a proceedure similar to long division which will give the square root one decimal place at a time,but it is a bit hard to describe in this .... More from Yahoo Answers
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