Answer: 6/25
Step-by-step explanation: To find the equivalent expression, we can use the property of square roots that says that the square root of the quotient of two numbers is the quotient of the square roots of the numbers. This property is given by the following equation: sqrt(a/b) = sqrt(a) / sqrt(b)
In this case, the expression we are trying to simplify is sqrt(36/25), which we can rewrite using the property of square roots as follows: sqrt(36/25) = sqrt(36) / sqrt(25)
Then, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression as follows: sqrt(36/25) = 6 / sqrt(25)
Finally, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression even further: sqrt(36/25) = 6 / 5
Therefore, the equivalent expression to sqrt(36/25) is 6/25. This means that the correct answer is 6/25, not 5/6.