Explain 3 ways you can find the square root of a number

1 answer

1. Calculator:
One of the simplest and most common ways to find the square root of a number is by using a calculator that has a square root function. Most scientific or graphing calculators have a button labeled "sqrt" which allows you to directly input the number and get the square root.

2. Estimation:
Another method to approximate the square root of a number is by estimation. This involves finding a number that, when multiplied by itself, gives a result close to the original number. For example, if you want to find the square root of 25, you start with estimating a root that could be close, like 5. Multiply this estimated root by itself (5 x 5 = 25). If the result matches or is close to the original number, you have found the square root. If not, adjust your estimation and repeat the process until you are satisfied with the approximation.

3. Long Division Method:
The long division method is a manual way to find the square root of a number. It involves a step-by-step process of dividing and deriving a result. Let's say you want to find the square root of 64. Begin by grouping the digits of the number into pairs from right to left, starting with the decimal point if it exists. Then, find the largest perfect square that can be subtracted from the leftmost pair (64) and the result is the quotient of the division. Write the quotient on top and bring down the next pair. Divide the new dividend by twice the current divisor plus the digit to its right and repeat the process until all digits are exhausted. The resulting quotient will be the square root of the original number.