What is √125 simplified?
The simplified form of √125 is 5√5.
To simplify √125, you can start by finding the factors of 125. The factors of 125 are 1, 5, 25, and 125.
Next, look for the largest perfect square factor. In this case, 25 is the largest perfect square factor because it can be written as 5 * 5.
So, √125 can be simplified as √(25 * 5).
Using the square root property, you can separate the factors:
√(25 * 5) = √25 * √5
The square root of 25 is 5, so you end up with:
5√5
Therefore, √125 simplifies to 5√5.
To simplify √125, we can break down 125 into its prime factors and then simplify the square root.
First, let's find the prime factors of 125:
125 ÷ 5 = 25
25 ÷ 5 = 5
5 is a prime number, so we can stop here.
Now, let's rewrite the square root:
√125 = √(5 * 5 * 5)
Since there are two pairs of the same number (5), we can take one of them out of the square root. When we take out one 5 from under the square root, it becomes 5. The remaining 5 stays inside the square root:
√125 = 5√5
So, √125 simplified is 5√5.