Stuck in finding the square roots for your mathematics homework? Get accurate and fast results with our square root calculator for free. Find square root, cube root, and nth root or radical of any given number. Also, you can add, subtract, multiply, and divide any two square root values.
Square Root Calculator calculates the square root of any number. Enter the number for which you have to find the square root of and then just simply press the "Calculate" button. The answer will be on your screen within seconds. It eliminates the difficulties you can face while solving on pen and paper. Make your calculations easier and fast using our tool.
Our tool also has two more functions. You can use it as a cube root calculator and nth root or radical calculator. Our tool has dedicated tabs for square, cube, and nth root calculation. So, it becomes a one-stop destination. We will know more about the square root calculator features, use cases, and the algorithm used behind it in the following article. We have also elaborated on how you can use the calculator tool. This article will teach you everything and you will be able to use it easily every time.
A square root of a number can be defined as a number which when multiplied with itself gives that number. For example, if a number is 9 then its square root is 3. As when 3 is multiplied by 3 it gives 9.
The radical symbol (√) is used for denoting square root. It is also known as the "Root symbol" or "Surds".
Our online square root calculator works for both perfect and non-perfect squares.
If you ask for the simplest way to find the square root of a number then just use our free online square root calculator.
Along with that let's also learn about the standard mathematical approach to calculate the square root.
We have four ways to find the square root and they are as follows:
Only the long division method is useful for calculating the square root of a non-perfect square. All three other methods can only be applied to perfect square numbers. If you are unsure whether a number is a perfect square or not you must go with the long division method. It can find the square root of perfect as well as non-perfect squares. However, the process is a bit complex than others.
Let's look at each method one by one.
Long Division Method can give you the exact square root of any number. The process involves breaking down a large number into steps or parts.
In this method, we break down the number into its prime factors. The most important thing to keep in mind while using prime factorization is that the number should be a perfect square.
Let's make it clearer through an example. Let's calculate the square root of 16. As 16 is a perfect square we can use prime factorization.
The prime number representation will be as follows:
2 x 2 x 2 x 2 = 16
We can pair the first and second 2's together and remain as another pair. Out of both pairs we take 2 from each as a common factor and find the product to get 4. The square root of 16 is 4.
2 x 2 = 4 = √16
Final Answer = 4
The process of the repeated subtraction method is quite easy. Just keep on subtracting consecutive odd numbers till you get zero. The odd number should be in order. Don't take a high jump to reach zero easily. There will be a time when you will reach zero and the number of steps to reach zero is the square root of the number. Remember, this method is only applicable for perfect square numbers.
Let's calculate the square root of 25. This time using the repeated subtraction method. In this method, we will subtract the values with odd numbers till we get zero.
First step: 25 – 1 = 24
Second step: 24 – 3 = 21
Third step: 21 – 5 = 16
Fourth step: 16 – 7 = 9
Fifth step: 9 – 9 = 0
So, the total number of steps = 5.
Hence, the square root of 25 is 5.
There is no actual mathematical calculation involved in the Estimation Method. In this, you have to guess the value. However, this method is not recommended if you want accurate results. For approximation, you can surely go for it. It is time-consuming as well as prone to errors.
Above all methods are just for your knowledge gain. You don't need to calculate the square root manually. Just keep our Square root calculator handy. It will make your work easy, fast, and accurate. Also, it will save you time and effort.
Use this calculator tool to find the square, cube, and nth roots or radical of numbers. You can also perform basic arithmetic operations upon the roots. It automatically calculates the root of the number entered. It is eliminating the workload from you and also saves time.
Pen and paper calculation can be very tedious. Also, you are never 100% sure if the outcome is correct. Hence, sticking with a calculator is the best option. Subsequently, our square root calculator proves to be the best. It's free, fast, and accurate. Also offers multiple features.
This section explains how you can use the calculator to find the roots. As mentioned above, this tool is very easy to use. So, you will never find any difficulty while using it.
To perform arithmetic operations, press the "Expand" button. It will show drop-down options to select the operation. In addition, it will show another input box for entering the second operand. Now fill in all the values and press the "Calculate" button to get the final output. That's it.
Yes, you can calculate the roots of the negative numbers as well.
You can perform addition, subtraction, multiplication, and division over the square roots.
Yes, our calculator works perfectly for non-perfect square numbers.
Firstly, select the square root tab, press the "Expand" button, enter the first and second square root values and then select multiplication sign from the drop-down menu. When you are done, press the "Calculate" button to get a result.
No, you can't use it offline. Because it's an online tool. Therefore, you will require an active internet connection in order to use it.