How to Find Square Root?
Finding the square root of a number is the inverse operation of squaring that number. It is denoted by the symbol √. Here's how you can find the square root of a number:

Using Prime Factorization:
- Step 1: Find the prime factorization of the number.
- Step 2: Pair up the prime factors in twos.
- Step 3: Take one factor from each pair and multiply them together. This will give you the square root of the original number.

Using Estimation:
- Step 1: Find a perfect square that is close to the number.
- Step 2: Divide the number by the perfect square.
- Step 3: Take the average of the result and the perfect square to get an estimate of the square root.

Using Long Division Method:
- Step 1: Write the number whose square root you want to find.
- Step 2: Group the digits in pairs, starting from the decimal point (if present).
- Step 3: Find the largest square that fits in the leftmost group and write it as the first digit of the square root.
- Step 4: Subtract the square of this digit from the leftmost group and bring down the next pair of digits. This becomes the new dividend.
- Step 5: Double the digit you wrote as the first digit of the square root and write it as a temporary divisor.
- Step 6: Find the largest digit that, when added to the temporary divisor, gives a product less than or equal to the new dividend. This becomes the next digit of the square root.
- Step 7: Repeat steps 4 to 6 until you have enough decimal places in the square root.
By following these methods, you can efficiently find the square root of any number.