Final answer:
The value of the expression √(2-10)²(5-(-1))² is 48 after simplifying and multiplying the squared terms. However, this answer is not listed in the provided options, indicating a potential error in the question or the options.
Step-by-step explanation:
To find the value of the expression √(2-10)²(5-(-1))², let's first simplify the terms inside the square roots:
- (2-10) = -8, and (-8)² = 64
- (5-(-1)) = 5 + 1 = 6, and (6)² = 36
Now multiply the results of the squared terms:
64 × 36 = 2304
Next, we take the square root of 2304, which is 48:
√2304 = 48
So, the value of the expression is 48, which is not listed in the multiple-choice answers provided. There may be a mistake in the question or the given options. Always double-check to ensure you input the numbers correctly.