How do you simplify the Square root of 245?

To simplify the square root of 245, follow these steps:

Factor 245: Start by finding the prime factorization of 245.

245 ÷ 5 = 49

Now, factor 49:

49 = 7 × 7

So, the prime factorization of 245 is: 245 = 5 × 7 × 7

Group the factors: Look for pairs of identical factors because the square root of a number can be simplified by taking out pairs of factors.

In this case, there is a pair of 7's (7 × 7).

Simplify the square root: You can now simplify the square root by taking the square root of the pair of 7's outside the square root.

√245 = √(5 × 7 × 7)

Since √(7 × 7) = 7, you can simplify this to:

√245 = 7√5

Thus, the simplified form of √245 is 7√5.