Square Root Calculator, How to Find Square Root or ²√ Formula

Square root calculator

Hello engpocket friends, in this post, we will move a bit to the general calculator. We will continue the HVAC calculator version in other time.

Calculating the square root of number is a very common task in geometry, physics, and daily construction projects. Whether you are student, engineer, or whoever you are, this square root calculator will provide you instant and accurate results.

What is a square root?

In math, the square root of a number is a value that, when we multiplie the number by itself,it will give the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.

What does square root mean?

Square root symbol is √. Perhaps you are writing something and need to copy paste a square root symbol, then i hope this will help you a lot.

The word "root" refers to the "source" of a square. Think of a physical square shape, the square root is the length of one of its sides. If a square has an area of 25 square meters, its "root" (side length) is 5 meters.

We use square roots for several practical reasons

• Geometry: Finding the length of a side or a diagonal (Used in Pythagorean Theorem).
• Statistics: Calculate standard deviation and variance.
• Construction: Ensuring the corners are perfectly square.
• Physics: To calculate velocity, acceleration, and falling objects.

Square root formula

$\begin{aligned} \text{If } x^2 &= y \\ \text{Then } \sqrt{y} &= x \\ \\ \text{Example:} \\ 4^2 &= 16 \Rightarrow \sqrt{16} = 4 \end{aligned}$

Example problem

Example problem 1

What is the square root of 144?

Answer:

$\sqrt{144} = 12$

Example problem 2

I have a square garden with an area of 50 m². Please help me calculate the length of one side of my garden.

Answer:

$\sqrt{50} \approx 7.071$

That is all for the square root calculator and the square root formula. You can also use our pythagorean calculator on this link.