Answer:
The square root of 75 can be written as √75. To simplify this expression, we can use the property that the square root of a product is equal to the product of the square roots of the factors. In this case, we can factor 75 as the product of 25 and 3:
√75 = √(25 x 3)
We can then apply the property of the square root of a product to simplify the expression:
√75 = √(25 x 3) = √25 x √3
We can further simplify the expression by applying the property that the square root of a perfect square is equal to the number itself. Since 25 is a perfect square, we can simplify √25 to 5:
√75 = √(25 x 3) = √25 x √3 = 5 x √3
Therefore, the simplified form of √75 is 5 x √3. This means that the square root of 75 is equal to 5 times the square root of 3.
Explanation: