simplify the square root of 175.
√175 = √25 * √7
= 5√7
To simplify the square root of 175, you need to find the largest perfect square that divides evenly into 175.
Start by finding the prime factorization of 175:
175 = 5 × 5 × 7
Now, look for pairs of matching prime factors:
5 × 5 × 7
Since there are two 5's, you can simplify them as one square root:
√(5 × 5 × 7) = 5√7
Therefore, the simplified square root of 175 is 5√7.