Answer: 8 1/4
Step-by-step explanation:
2 3/4 + 5 1/2 = ?
Least common denominator is 4
2 3/4 + 5 2/4 = ?
2(4)+3 = 11
5(4) + 2 = 22
so the equation becomes
11/4 + 22/4 = 33/4 = 8 1/4
So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.
3 x 4 = 12
√8 x √3 = √24
Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:
12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6
In short, the answer is 24√6, or the first option.
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