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125 Squared

125 squared, (125)2, is the number you get when multiplying 125 times 125.

It can also be looked at as exponentiation involving the base 125 and the exponent 2.

The term is usually pronounced one hundred twenty-five times one hundred twenty-five or one hundred twenty-five squared.

The square of 125 is a perfect square because the number is the product of the two equal integers 125.

It can be written as 125 × 125 or in exponential form.

Read on to learn everything about the number one hundred twenty-five squared, including useful identities.

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(125)2 = 15,625
125 × 125 = 15,625

The inverse operation of squaring one hundred twenty-five is extracting the square root of 125, explained here.

In the next section we elaborate on what is 125 squared and there you can also find our calculator.

What is 125 Squared?

A square is a flat shape with four equal sides; every angle is 90°.

Hence, a square with side length 125 has an area of 15,625.

125 squared equals the sum of the first 125 odd numbers:


In addition, the number can be calculated from 124 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(125)2 = 1242 + 124 + 125 = 1242 + 249 = 15,625

It can be also be computed from 124 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(125)2 = 2 x 1242 – 1232 + 2 = 2 x 15376 – 15129 + 2 = 15,625

The difference between the perfect square of 125 and its predecessor, 124, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 125 – 1 = 249 = (125)2 – 1242 = 15,625 – 15376 = 249

125 is odd, and the square numbers of odd numbers are also odd: (2n + 1)2 = 4 × (n2 + n) + 1.

Squares of odd numbers like 125 are of the form 8n + 1, because (2n + 1)2 = 4n × (n + 1) + 1;
n × (n + 1) is an even number.

If you want to calculate the square of any number, not only integers like 125, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 125 is, for example: square of 127.


Ahead, we discuss the frequently asked questions.

FAQs About 125 Squared

Click on the question which is of interest to you to see the collapsible content answer.

What is the Square of 125?

The square of 125 is 15,625.

How do you Write 125 Squared?

125 squared can be written as (125)2 (a small 2 is placed to the top right of 125) or 125^2.

Is There a Square Root of 125?

Yes, the square roots of 125 are ±11.180339888.

What is the Perfect Square of 125?

The perfect square of 125 is 125 × 125 = 15,625.

How Do You Square 125?

You square 125 by multiplying 125 by itself.

Is 125 a Square Number?

No, 125 is the square of the irrational number 11.1803398875.

What is the Square of Negative 125?

The square of negative 125 is 15,625.

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The following table contains the squares of numbers close to 125.

Table

NumberSquare
12014,400
12114,641
12214,884
12315,129
12415,376
12515,625
12615,876
12716,129
12816,384
12916,641
13016,900

One Hundred Twenty-Five Squared

By reading so far you know all about squaring the number 125 and calculating it using recursive methods, or as sum, product or by exponentiation.

125 squared is equivalent to 15,625.

If you were searching for what is 125 squared in math or if you typed whats 125 squared in the search engine you now have all the answers, too.

The same goes for searches like square125, and 125 to the 2nd power, just to name a few more examples people are often looking for.

Note that you can also find many perfect squares including 125 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

125 squared = 125 × 125 = (125)2 = 15,625.

The exponentiation form is mostly used to denote one hundred twenty-five squared.

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