If you want to find the square root value of any number then this calculator is really going to help you, the procedure to use this calculator is very simple ,
That is put the input value for that number you want to find the square root value (power of the number is 0.5 or 1/2)
The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.
Standard Form of square root :
The standard form to represent the square root is given below:
The square root of a function is defined as: f(x) = √x
In other words, it is defined by √(x.x) = √(x)2 = x
What is a perfect square?
A simple way to know if a number is a perfect square or not:
If a number ends with 2, 3, 7, 8 at the unit place then it is not a perfect square
If a number is a perfect square, then it ends with 1, 4, 5, 6, 9 in the unit place but vice versa is not possible. For example, 25 is a perfect square, whereas 35 is not
In mathematics, squaring a number is not difficult as the calculation is easy. To find the square root of a number is complicated as we need to find the original number that was squared. Let us consider an example: +5 and -5 are square roots of 25 because 52 = (-5)2 = 25. A non-negative real number has a unique non-negative square root. It is called principal square root denoted by √a. √ is called the radical symbol or radix and in this example, the principal square root of 25 is 5 which is denoted by √25 = 5, because 52 = 5 • 5 = 25 and 5 is non-negative. The number underneath the radical symbol is called the radicand. Here the radicand is 25.
Considering the above example, +2 and -2 are square roots of 4 because 22 = (-2)2 = 4. A non-negative real number has a unique non-negative square root. It is called principal square root denoted by √a. √ is called the radical symbol or radix and in this example, the principal square root of 4 is 2 which is denoted by √4 = 2 because 22 = 2 • 2 = 4 and 2 are non-negative. The number underneath the radical symbol is called the radicand. Here the radicand is 4. Here is a video for the shortcut method to find out the square root of a number.
Square root of 40 ?
40 is the multiple of 4 and 10. As we already know, the root of 4 is equal to 2 but what about number 10. Since 10 is not a perfect square, thus we have to find the root of 10 using the long division method.
Hence, we can write,
Value of root 40 = √40 = √4 x √10 = 2 √10
Since, √10 = 3.162 [By long division method]
Hence, √40 = 2 x 3.162 = 6.324
Square root of 400 ?
When number 4 is multiplied by 100 it results in 400, such as;
4 x 100 = 400
As you can see, both 4 and 100 are the perfect squares. Hence, it is easy to find the root value of 400. Therefore,
√400 = √4 x √100 = 2 x 10 = 20
Hence, 20 is the answer.
Similarly you can also find other square root value by this method.
