Determining a square root is the process in which you calculate a specific number that gives the same number after multiplying it by itself. For example, if you want to find what the square root of 16, explore a particular number and multiply it from the same value. Then, your answer will be 4. Mathematically; √16 = √4 × 4 = 4. Positive & Negative Values - When determining these value we have to realize that they can have a negative or positive value because when we multiply two negative numbers it results in a positive. Now, in case of +ve or -ve, if you multiply two -ve numbers, you will ever get a +ve number. For example, by multiplying - 5 by - 5, you will get +25. It means - ×- = +. Hence, the square root of 25 is - 5. Roots of Integers - Whenever we calculate this value for any value in integer form, we always get the answer in perfect square. For example; 16 and 25 are a perfect squares because, √16 and √25 = 4 × 4 & 5 × 5 = 4 & 5. They Can Pose as an Irrational Number - When we calculate the square root of values that are not perfect square, the answer will always be an irrational numbers. At last, you can easily calculate the square root of any +ve number whether it is integer or not.

When we are looking for the square of a number we are looking for a factor that when multiplied by itself will result in that number. When whole number is made by squaring a whole number we refer to it as a perfect square. A good way to go about determining these values is to create a factor tree for the number you are looking for the square root of. When you create your factor tree separate the prime factors into groups. When move on to geometry problems that involve triangles and squares, this skill comes in very handy. These worksheets offer students an opportunity to practice finding the square root of a number and writing the perfect square of a number. It is up to the instructor as to whether calculators will be allowed.