What is the square root of 175?

The square root of 175 can be simplified to make it easier to understand. First, we can break it down into its prime factors.

Breaking Down 175

175 can be factored into:

• 5 × 35
• 35 can be further factored into 5 × 7

So, the complete factorization of 175 is:

• 175 = 5 × 5 × 7

Finding the Square Root

The square root of 175 can be expressed as:

√175 = √(5 × 5 × 7)

This simplifies to:

√175 = 5√7

Approximate Value

If you need a decimal approximation, the square root of 175 is about:

√175 ≈ 13.23

In summary, the square root of 175 simplifies to 5√7, and its approximate value is 13.23.