Find the square root of 128.(1 point)

Question

Responses

24–√
2 start root 4 end root

64 −−−√ x 2–√
start root 64 end root x start root 2 end root

82–√
8 start root 2 end root

42–√
4 start root 2 end root

Answer 1

To find the square root of 128, we can simplify it as follows:

1. Factor 128:
   \[ 128 = 64 \times 2 \] and \[ 64 = 8^2 \text{ (since } 8 \times 8 = 64\text{)}. \]

2. Now, take the square root:
   \[ \sqrt{128} = \sqrt{64 \times 2} = \sqrt{64} \times \sqrt{2} = 8 \sqrt{2}. \]

So the correct response is \( 8 \sqrt{2} \).