Are you struggling to solve square roots problems? Do you want to learn how to calculate square roots easily? In this tutorial, we will guide you through the step-by-step process of finding the square root of a number. By the end of this article, you will be able to solve square roots problems like a pro!
What is a square root?
A square root is a mathematical operation that determines what number multiplied by itself equals a given number. For example, the square root of 9 is 3 because 3 x 3 = 9. The symbol for square root is √.
The process of finding the square root
To find the square root of a number, follow these steps:
Step 1: Divide the number into pairs of digits
Starting from the right, divide the digits of the number into pairs. If there is an odd number of digits, the leftmost digit will be a pair by itself. For example, the number 123456 would be divided into pairs as 12, 34, and 56.
Step 2: Find the largest square that is less than or equal to the first pair
Starting with the leftmost pair, find the largest square number that is less than or equal to the pair. For example, if the first pair is 12, the largest square number less than or equal to 12 is 9.
Step 3: Write down the root of the largest square found in Step 2
The root of the largest square found in Step 2 is the first digit of the square root. For example, if the largest square found in Step 2 is 9, then the first digit of the square root is 3.
Step 4: Subtract the product of the first digit and the root from the first pair
Multiply the first digit by the root found in Step 3 and subtract the result from the first pair. For example, if the first pair is 12 and the first digit of the square root is 3, then 3 x 3 = 9. Subtracting 9 from 12 gives the remainder of 3.
Step 5: Bring down the next pair of digits and repeat Steps 2-4
Bring down the next pair of digits and repeat Steps 2-4 until all pairs have been used. For example, if the next pair is 34, repeat Steps 2-4 until you find the next digit of the square root.
Step 6: Write down the remaining digits as the decimal part of the square root
If there are remaining digits after all pairs have been used, write them down as the decimal part of the square root. For example, if the number being squared is 123.456, and the calculated root so far is 11, you would write the square root as 11.1XX.
In conclusion, finding the square root of a number is not as difficult as it may seem. By following the steps outlined in this tutorial, you can easily calculate the square root of any number. Remember, practice makes perfect, so keep practicing until you can solve square roots problems with ease!