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5 votes
Which term is correct when simplifying √128?

A.) 16
B.) 12
C.) 10
D.) 8√2

User Mentakatz
by
6.2k points

1 Answer

3 votes
when dealing with roots, we want to factor to see if it's possible


image

= 2 * 2 * 32

= 2 * 2 * 2 * 16

= 2 * 2 * 2 * 2 * 8

= 2 * 2 * 2 * 2 * 2 * 4

= 2 * 2 * 2 * 2 * 2 * 2 * 2

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..

= (2 * 2) * (2 * 2) * (2 * 2) * 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 * 2 * 2 * √(2)

now simply multiply

8 √(2)
User Smurff
by
7.3k points