HomeTHEORYSquare Root Trick When...

Square Root Trick When the Number Ends with 25



Here is a square root trick when the number ends with 25 and the other numbers follow a specific pattern. For example, what is the square root of 2025?

Square Root Trick When the Number Ends with 25

Easy, isn’t it? The first part of the answer is always 5. This is from the 25. 

The second part of the answer is found by factoring 20.

20 = 5 × 4. Just put the 4 on the left of 5.

Notice that it is always the smaller factor that we put next 5, that is 4.

Now here is the other trick that will help you find all the other square roots with ease.

Add 1 to 5 and add 1 to 4 and then multiply

(5 + 1)(4 + 1) = 6 × 5 = 30

Therefore, the next number you can easily find the square is 3025.

Continuing with this pattern, the next few numbers are 4225, 5625, 7225, and so forth.

The square root of 3025 is 55. Why? Remember that the first part of the answer is always 5. 

The second part of the answer is the smaller factor of 6 × 5, that is 5.

Can you quickly find the square roots of 4225, 5625, and 7225?







Most Popular

More from Author

Google Forms for Formative Assessment in Math Class

Cheers to a new school year that will be unlike any...

2nd Grade Subtraction Worksheet | Subtraction of 2-Digit Numbers

In 2nd grade subtraction worksheet we will solve the problems on subtraction...

S01 overview – Intellectual Mathematics

Galileo is the most overrated figure in the history of science....

Digital SAT Math Problems and Solutions (Part

Problem 1 :Store A sells raspberries for $5.50 per pint and...

- A word from our sponsors -

Read Now

Google Forms for Formative Assessment in Math Class

Cheers to a new school year that will be unlike any school year before!I know that all of us are looking at new and different plans...hybrid/synchronous/asynchronous/ fully in person/fully remote...the list goes on.   I have spent a considerable amount of time trying to figure out how I...

2nd Grade Subtraction Worksheet | Subtraction of 2-Digit Numbers

In 2nd grade subtraction worksheet we will solve the problems on subtraction of 2-digit numbers (without Regrouping), subtraction of numbers with regrouping, subtracting 1-digit number from 2-digit number with regrouping, subtracting 2-digit number with regrouping, checking subtraction with addition, subtraction is reverse of addition, addition and subtraction together, estimating the difference and...

S01 overview – Intellectual Mathematics

Galileo is the most overrated figure in the history of science. That is the thesis of Season 1 of my podcast, which consists of the following 18 episodes. Galileo bad, Archimedes good Galileo’s bumbling attempts at determining the area of the cycloid suggests a radical new interpretation of...

Digital SAT Math Problems and Solutions (Part

Problem 1 :Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain purchase of raspberries and blackberries would cost $37.00 at store A or $66.00 at store B. How many...

How To Find The Factors Of 20: A Simple Way

The factors of 20 are the numbers 1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10, and -20. As you can see, the total number of factors 20 has is 12. Make the following observations!The numbers 1, 2, 4, 5, 10, 20 are called positive factors of...

Addition & Subtraction Together |Combination of addition & subtraction

We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum of all the...

Two Back to School Ideas for Digital Classrooms

 Yep, it's a school year like no other.  If you're like me, you have some very specific back to school routines...you buy the new school supplies, you get your kids a new backpack, you prepare your bulletin boards.  There are even back to school activities that I...

Digital SAT Math Problems and Solutions (Part

Problem 1 :Each face of a fair 14-sided die is labeled with a number from 1 through 14, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2? Solution : https://www.youtube.com/watch?v=PC0RAjG6Zb8 Problem 2 :A printer produces posters...

Percent of Increase Word Problems

Hello and welcome! We're focusing today on a fascinating mathematical topic: percent of increase word problems. We've got some exciting scenarios to consider and we'll walk through these calculations together. It'll be as simple as counting 1, 2, 3. Let's start! Before we start, let's be clear on...

Societal role of geometry in early civilisations – Intellectual Mathematics

Podcast: DownloadIn ancient Mesopotamia and Egypt, mathematics meant law and order. Specialised mathematical technocrats were deployed to settle conflicts regarding taxes, trade contracts, and inheritance. Mathematics enabled states to develop civil branches of government instead of relying on force and violence. Mathematics enabled complex economies in which...

Sub Plans for High School Math Class – Webquests are Perfect!

Distance learning ... hybrid learning ... asynchronous learning ...   we're all learning different terms right now!  Here is a type of activity would be great in any of these settings...Webquests!I have used these types of activities in my classroom for a number of years.  I enjoy using...

Digital SAT Math Problems and Solutions (Part

Problem 1 :A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x + 35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context? A) ...