The 5 Best Square Root of 125 Secrets to Simplify Your Math

12/23/2024

Cube root of 125


The cube root of 125 is... (drumroll please) ...5!

In mathematical notation, this would be written as:

³√125 = 5


Square root of 125 in radical form


The square root of 125 in radical form is:

√125 = √(5²) = 5


Square root of 125 simplified


The square root of 125 is:

√125 = √(5^2 × 5) = 5√25

Since 25 is a perfect square (5^2), we can simplify it further:

5√25 = 5 × 5 = 25

So, the simplified form of the square root of 125 is:


Square root of 125 in fraction


The square root of 125 can be expressed as a fraction.

√125 = √(5² × 5) = 5√25

Since 25 is a perfect square (5²), we can express it as a fraction:

25 = (3/3)² = (3/1)² = 9

So,

√125 = 5√25 = 5 × √9
= 5 × 3 (since √9 = 3)
= 15


Square root of 125 calculator


The square root of 125!

To calculate the square root of 125, you can use a calculator or do it manually. Here are both methods:

**Calculator Method:**

1. Open your calculator app on your phone or computer.
2. Type in "√125" (make sure to include the symbol).
3. Press the "Enter" or "=" button to calculate the result.
4. The answer will be displayed: √125 = 11.18

**Manual Calculation Method:**

1. To find the square root of 125, you need to find a number that, when multiplied by itself, gives you 125.

Think of it like this:

√125 = x, where x × x = 125

To solve for x, take the square root of both sides:

x = √125

Use your knowledge of perfect squares to help you estimate the answer. Since 11 × 11 = 121 (just below 125), we know that x must be slightly higher than 11.

Let's try 11.18 (which is approximately √1.25):

(11.18)² = 125

Yes! You're correct!

So, the square root of 125 is indeed ≈ 11.18.


3 square root of 125 simplified


To simplify the expression `3√125`, we can start by finding the perfect square that is closest to 125. In this case, it's 121 (which is equal to `(11)^2`).

So, we can rewrite `125` as `(11)(11) + 4`, which means:

`3√(11^2 + 4)`

Now, we can use the difference of squares formula: `a^2 - b^2 = (a - b)(a + b)`.

In this case, we have:

`(11)^2 - 4 = (11 - √4)(11 + √4)`

`= (7)(13)`

So, we can simplify the expression even further:

`3√125 = 3(11) = 33`

Therefore, `3√125` simplifies to `33`.


Square of 125


The square of 125 is:

125 × 125 = 15,625


Square root of 64


The square root of 64 is... (drumroll please)... 8!

That's because 8 multiplied by 8 equals 64. In mathematical notation, that would be:

√64 = 8