Perfect Square Calculator

Do you want to find the perfect square of the given numbers? No worries as the perfect square calculator is here to calculate the perfect square for you.

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Table of Contents:

Introduction to Perfect Square Calculator

Perfect Square Calculator is an online tool that helps you find the perfect square of a given number in less than a minute. Our tool determines whether the given number has a perfect square root or not.

Perfect Square Calculator with Steps

Our square number calculator is the need of the hour for students because for the calculation of the perfect square you have extensive information about tables if you find the perfect square of a number manually. It is difficult to learn all the tables to find the perfect square root.

Due to this reason, we introduce our calculator for perfect squares that can do all the calculations and give you the exact solution of your given number.

What is a Perfect Square

Perfect square is a method used when you multiply two equal integers and get the product of the same integer. It makes a number that becomes a square of the same integer. For example, 81 is the perfect square of 9 because when we multiply the same integer 9 twice like 9*9 it gives 81 as a product of 9.

Square root tells whether a number has a perfect square or not. When a number is given to find its square root if it provides the solution within the number, it means the number has a perfect square otherwise it does not have a square root.

Working Process of Square Number Calculator

The perfect squares calculator uses the easiest method to solve the given numbers with the help of a square root that tells whether a number has a perfect square or not. Our tool has advanced features to solve such various types of numbers for the calculation of perfect squares quickly.

When you enter the input equation in the calculator perfect square. It starts the calculation process, in which it takes the square root of a given number to check whether it has a perfect square or not.

For example, when you take the square root of 25 it gives solution 5, which means 25 has a perfect square root. On the other hand, if you take a square root of the number 39 and it gives the solution in decimal like 6.244 then 39 has no perfect square.

Example of Perfect Square:

Some examples of a perfect square are given to let you understand the manual way of calculating the perfect square problem and to know how the Perfect Square Calculator solves such problems.

What is a Perfect Square between 81 and 121

To find a perfect square between 81 and 121, first, we take the squares of numbers within the range of 81 and 121 until we find one.

The perfect squares within this range are

$$ 9^2 \;=\; 81 \;and\; 11^2 \;=\; 121 $$

So,10^2=100 falls between 81 and121,

That means 100 is the perfect square between 81 and 121

What is the Perfect Square of 100

To find the perfect square of 100 first take a square root of 100 which is

$$ \sqrt{100} \;=\; \sqrt{10^2} \;=\;10 $$

Since 100 is equal to 10^2, It means it gives an integer so 100 is a perfect square root of 10.

What is the Next Perfect Square after 36

To find the next perfect square of 36 first take a square root of 36 which is

$$ \sqrt{36} \;=\; \sqrt{6^2} \;=\; 6 $$

Since 36 is equal to 6^2, that means 36 is a perfect square root of 6.

So its next number is 7 which is a perfect square of 49.

How to Use the Perfect Square Calculator

The calculator for perfect squares has a simple interface so that you can use it to calculate perfect square of a given number. Before giving the input number in our solver, you must follow some instructions so that you do not have any inconvenience in the calculation. These steps are:

  1. Enter the number that you want to evaluate for finding the perfect square root in the input field.
  2. Review your input number because if it is not true that means it does not give you the solution as a perfect square in the square number calculator.
  3. Click the “Calculate” button to get the result of the given number from the perfect square solver.
  4. Click on the “Recalculate” button to get a new page for solving more problems of calculating the perfect square root of given numbers.

Final Result of Calculator for Perfect Squares

The perfect square calculator gives you the solution of the given number value when you add the input to it. It gives you solutions with complete detail. It may contain as

  • Result option gives you a solution for perfect square root problems
  • Possible step provides you with all the steps of the given problem solution

Advantages of Perfect Squares Calculator

The calculator perfect square will give you tons of advantages whenever you use it to calculate perfect square whether the given number has a perfect square or not. These benefits are:

  • Square number calculator saves time and effort when you find the perfect square of a number solution manually.
  • It is a free-of-cost tool so you can use it for free to find the perfect square of a given number
  • Calculator for perfect squares is a versatile tool that allows you to solve different types of numbers (integers, natural numbers, or fractions) with perfect square roots.
  • You can use this calculator for practice so that you may be familiar with the concept of the perfect square method.
  • Perfect Square Calculator is a trustworthy tool that provides you with an accurate solution every time whenever you use it to find the perfect square of a given number calculation.
Related References
Frequently Ask Questions

What is the perfect square formula?

Perfect square formula is used to calculate the square of a number such as:

$$ (Number)^2 \;=\; (Number) \times (Number) $$

For example, the square of x can be expressed as x2, and it is equal to multiplied by itself twice. This formula can apply to both positive and negative numbers for any number x, the perfect square is x2.

The number 72 is between what two perfect squares?

To find the two perfect squares in which 72 lies, let's see the perfect squares that close to 72. The perfect squares are close to 72 are 82 = 64 and 92 = 81. So, 72 lies between 64 and 81.

What is the greatest perfect square of 244?

To find the greatest perfect square less than or equal to 244, take the square root of 244 and round off to its nearest integer.

$$ 244 \approx 15.6205 $$

Rounding off to the nearest integer, get 15. Therefore, the greatest perfect square less than or equal to 244 is 152 = 225.

What is the perfect square of 125?

You can get the perfect square of 125, when you multiply 125 twice. The solution will be,

$$ 125^2 \;=\; 15625 $$

What is the perfect square of 169?

You can get the perfect square of 169, when you multiply 169 twice. Therefore the perfect square of 169 will be

$$ 169^2 \;=\; 28561 $$

What is the perfect square of 12?

You can get the perfect square of 12 when you multiply 12 twice. Hence the perfect square of 12 is,

$$ 12^2 \;=\; 144 $$

Is 75 a perfect square?

To determine the perfect square of 75, first we need to find its square root. The square root of 75 is approximately 8.660254 so 75 is not a perfect square because of the decimal value.

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