How do you simplify √250 ?

To simplify the square root of 250, you can break it down into its prime factors. Here’s how you can do it:

Step-by-Step Breakdown

First, factor 250 into its prime components:

• 250 = 25 × 10
• 25 = 5 × 5
• 10 = 5 × 2

So, the complete factorization of 250 is:

• 250 = 5 × 5 × 5 × 2

Finding the Square Root

Now, we can simplify the square root:

• √250 = √(5 × 5 × 5 × 2)
• √250 = √(25 × 10)
• √250 = √25 × √10
• √250 = 5√10

Final Result

The simplified form of √250 is 5√10.