Final answer:
The fraction 10/5 simplifies to 2, and among the provided options, none of them simplifies to exactly 2. Option C, the square root of 50, comes closest, but it is approximately 1.414, not 2. Therefore, none of the options A, B, C, or D is directly equivalent to 10/5.
Step-by-step explanation:
The question asks which expression is equivalent to 10/5. The fraction 10/5 simplifies to 2, since 10 divided by 5 equals 2. Therefore, the equivalent expression would be the one that also equals 2 when evaluated.
Option A represents the square root of 500, Option B is the square root of 10 to the power of 5, Option C is the square root of 50, and Option D represents the square root of 15.
Among these, the only option that when simplified would result in 2 is Option C, the square root of 50, since square root of 50 or √50 can also be expressed as √(25*2), which simplifies to 5√2.
Given that 5 is one of the square roots of 25, and 5 divided by 5 equals 1 leaving us with √2, which is approximately equal to 1.414 and not equal to 2, none of the options listed directly simplifies to 2.
Therefore, there seems to be an error as none of the presented options are equivalent to 10/5, which simplifies to exactly 2.