Long Division Method For Square Root

In mathematics, the long division method is a method of solving equations. It’s a basic technique that you probably use every day, without even realizing it. In this tutorial, we will show you how to do the long division method for square roots using a computer. This is a great technique to have in your arsenal if you need to solve equations quickly and efficiently.

What is the Long Division Method for Square Root?

The long division method is the most common way to find the square root of a number. To use this method, divide the number by its own square root.

For example, if you want to find the square root of 56, you would divide 56 by 4, which would give you 12 as a result. You would then divide 12 by 2 to get 6 as a result, and finally you would subtract 6 from 56 to get 42 as the final answer.

How to do the Long Division Method for Square Root?

The long division method for square root is a technique used to divide numbers by twos. This method is useful when the number being divided by is not a whole number.

To do the long division method for square root, start by dividing the number being squared by 2. Then, continue dividing the number by 2 until the remainder is zero. If the number being squared is not a whole number, round down to the nearest whole number before continuing with the division.

For example, if someone wants to divide 36 by 4, they would start by dividing 36 by 2 (12), which would result in 6 as the remainder. They would then continue dividing 36 by 2 until there was nothing left (6 ÷ 2 = 3), which would result in 0 as the remainder. Because 36 ÷ 0 = 0, 36 will be divided evenly into 4 pieces and will equal 12 each.

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Examples of Problems that can be Solved with the Long Division Method for Square Root

The long division method is a great way to solve problems that involve square roots. Here are some examples:

1. Find the square root of 144.

To solve this problem, we first need to divide 144 by 4. This results in 12 being divided equally among the two divisors (4 and 2), yielding 6 as the answer.

2. Find the square root of 252.

To solve this problem, we first need to divide 252 by 8. This results in 16 being divided equally among the two divisors (8 and 4), yielding 8 as the answer.

The Long Division Method for Square Root: Conclusion

The long division method for square root can be very helpful in solving equations. The steps are as follows:

Step 1: Divide the equation by its coefficient and simplify.

Example: 5 ÷ 2 = 3

Step 2: Take the square root of both sides.

Example: 3 Square Root = 1.5

Step 3: Check to make sure that the answer is within a certain range, and if not, take another step.

Example: 3 Square Root > 1 or Square Root < -1

In this case, we would take another step to find the answer that falls within the acceptable range.

The conclusion of this article can be that class 8 maths courses are a great way to learn the long division method for square root. Through these courses, students can easily understand and apply the concepts of this method in their mathematics examinations with accuracy and confidence. Not only does it help them gain knowledge about various mathematical techniques related to square root but also enables them to practice the same step by step under expert guidance. Thus, the online NCERT class 8 math course is an effective tool for mastering the long division method for finding out square roots accurately.