Final answer:
The expression 75√ is equivalent to the square root of 75, or 5√3. However, none of the provided options match this simplified expression, which suggests there may be a mistake in the question or the available answer choices.
Step-by-step explanation:
To find an expression equivalent to 75√, we should first recognize that √ symbol represents a square root, which can be expressed as an exponent of 0.5. So, if we rewrite 75√ as 75^(1/2), we are looking for another way to express this root or its derived value.
Following this approach, we can equate 75√ to 75^(1/2), which is the same as saying √75. To simplify, we look for a square number factor within the radicand (the number under the square root). We notice that 75 is equal to 3 * 25, where 25 is a perfect square. So we can express this as √(3 * 25) or √3 * √25. Since √25 is 5, the expression simplifies to 5√3.
Now, let's look at the answer choices provided:
- 355√
- 35 over square root 5 end root
- 4935√
- 49 over square root 35 end root
- 75√25
- Fraction numerator 7 square root 5 end root end numerator over 25
- 75√5
None of these expressions is equivalent to our simplified expression of 5√3. Therefore, there seems to be a mistake in the problem or in the provided options for a correct answer, as no given option matches the equivalent expression for 75√.