Square Root Calculator

What is a Square Root Calculator?

A square root calculator is an easy-to-use tool that finds the square root of a given number instantly. It simplifies the process of solving square roots while saving time and reducing errors. The square root calculator provides accurate results. The users of the square root calculator simply need to enter a number to get the square root of that particular number. The accuracy, efficiency and quick results make the square root calculator a perfect, time-saving tool for students, professionals, and anyone dealing with numbers. 

How to Find Square Root on Calculator?

JAIN (Deemed-to-be University) offers one of the most reliable and efficient square root calculators online. Anyone can use this square root value calculator to find the square root. Just enter the number in the specific field and click the “Calculate Square Root” button. The accurate result is displayed instantly.

What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, as 4×4=16. The symbol √ represents the square root. It helps in simplifying mathematical expressions and solving equations.

How to Simplify Square Roots?

To simplify square roots, factorise the number into its prime factors and pair the same factors. For each pair, take one number out of the square root symbol. For example, √18 simplifies to 3√2​ because 18=2×3×3. This method makes calculations easier.

Square Root Symbol

The square root symbol (√) is a mathematical notation used to represent the square root of a number. For instance, √25 means the square root of 25, which equals 5. It is universally recognised and widely used in mathematical problems and equations.

How Do You Find a Square Root - The Square Root Formula

The square root formula is used to calculate the square root of a number. It is expressed as √x, where x is the given number. For example, √64 = 8 because 8×8=64. The square root formula helps simplify numbers and solve equations efficiently.

Square Root Examples with Answers

Examples of square roots include:

• √36 = 6, as 6×6=36

• √49 = 7, as 7×7=49

• √81 = 9, as 9×9=81

These examples show how square roots work and how they relate to perfect squares.

How to Calculate Square Root

The square root of a number can be calculated using methods like prime factorisation, long division, or a calculator. For instance, to find √144, use factorisation: 144=12×12, so √144 = 12. Calculators are the quickest and most accurate method.

FAQs

What is a Square Root Calculator?

A Square Root Calculator (sqrt calculator in short) is a tool that helps find the square root of any given number quickly and accurately.

How to find square root with a calculator?

To find the square root with a calculator, simply input the number and press the square root button (√).

How do you find the square root without a calculator?

To find the square root without a calculator, you can use methods like estimation, prime factorisation, or the long division method.

What is the square root symbol?

The square root symbol is √, used to represent the square root of a number.

What is the square root of 9?

The square root of the number 9 is 3, as 3 × 3 = 9.

What is the square root of 5?

The square root of 5 is approximately 2.236. The number five is not a perfect square.

What is the square root of 8?

The square root of the number 8 is approximately 2.828, as 2.828 × 2.828 = 8.

What is the square root of 256?

The square root of the number 256 is 16, as 16 × 16 = 256.

What is the square root of 289?

The square root of the number 289 is 17, as 17 × 17 = 289.

What is the square root of 8?

The square root of 8 is approximately 2.828.

Are square roots rational?

Square roots are rational if the number is a perfect square (like 4, 9, 16). If not, the square root is irrational (like the square root of 2 or 5).

What is the derivative of the square root of x?

The derivative of the square root of x is 12x\frac{1}{2\sqrt{x}}2x​1​.