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tigry1 [53]
3 years ago
10

Which term is correct when simplifying √128? A.) 16 B.) 12 C.) 10 D.) 8√2

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
When dealing with roots, we want to factor to see if it's possible

128  = 2 \times 64
= 2 \times 2 \times 32
= 2 \times 2 \times 2 \times 16
= 2 \times 2 \times 2 \times 2 \times 8
= 2 \times 2 \times 2 \times 2 \times 2 \times 4
= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
= (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
= 2 \times 2 \times 2 \times \sqrt{2}

now simply multiply
8 \sqrt{2}
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