Final answer:
To simplify the expression, simplify each square root term individually and then combine the simplified terms. The equivalent choice is A) 5√3.
Step-by-step explanation:
To simplify the expression, we need to simplify each square root separately and then combine the simplified terms. Let's start:
√27 can be simplified as √(9 * 3), which is 3√3.
√12 can be simplified as √(4 * 3), which is 2√3.
√48 can be simplified as √(16 * 3), which is 4√3.
Now we can substitute the simplified terms back into the original expression: 3√3 - 2√3 + 4√3. Combining like terms, we get 5√3.
Therefore, the choice equivalent to the expression √27 - √12 + √48 is A) 5√3.
Learn more about Simplifying square roots