What is √125 simplified?

√125 simplified is 5√5.

To simplify √125, we can break it down into its prime factors.

First, we notice that 125 can be divided evenly by 5, so we have 125 = 5 * 25.

Next, we continue breaking down 25 into its prime factors. We see that 25 can be divided evenly by 5, so we have 25 = 5 * 5.

Therefore, we can simplify √125 as √(5 * 5 * 5).

Taking out one factor of 5 from the square root, we get 5√5.

So, √125 simplifies to 5√5.

To simplify the square root of 125, we need to find the largest perfect square that is a factor of 125.

First, let's find the prime factors of 125:
125 = 5 * 5 * 5 = 5^3

We can see that 5^2 is a perfect square that is a factor of 125.

Now, we can rewrite 125 as the product of 5^2 and another number:
125 = 5^2 * 5 = 25 * 5

Therefore, we can simplify the square root of 125 as follows:
√125 = √(25 * 5)

Using the property of square roots, we can split the square root of a product into the product of individual square roots:
√(25 * 5) = √25 * √5

Since the square root of 25 is a perfect square (5), we can simplify further:
√25 * √5 = 5 * √5

Therefore, the simplified form of √125 is 5√5.