How do you simplify the square root of 95?

To simplify the square root of 95, we first need to factor the number into its prime components.

Step 1: Factor 95

The number 95 can be factored into:

• 5 × 19

Both 5 and 19 are prime numbers, meaning they cannot be simplified further.

Step 2: Identify Perfect Squares

Next, we look for any perfect squares among the factors. A perfect square is a number that can be expressed as the square of an integer. In this case, neither 5 nor 19 is a perfect square.

Step 3: Simplifying the Square Root

Since there are no perfect squares in the factorization of 95, the square root cannot be simplified further. Therefore, the simplified form of the square root of 95 is:

Final Note

In decimal form, √95 is approximately 9.746, but as a simplified radical, it remains as √95.