Identify Roots Quick Check

Question

5 of 55 of 5 Items
Question
Find the square root of 128.(1 point)
Responses

√64 x √2
start root 64 end root x start root 2 end root

2√4
2 start root 4 end root

4√2
4 start root 2 end root

8√2
8 start root 2 end root

Answer 1

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

1. Break down 128 into its prime factors:

   • 128 = 64 × 2
   • We know that √64 = 8.

2. Now we can rewrite the square root:

   • √128 = √(64 × 2) = √64 × √2

3. Therefore:

   • √128 = 8√2.

The correct response is 8√2.