Find the square root of 128.(1 point)
Responses
82–√
8 start root 2 end root
24–√
2 start root 4 end root
64 −−−√ x 2–√
start root 64 end root x start root 2 end root
42–√
6 start root 2 end root
Find the square root of 128.(1 point
Responses
82–√
8 start root 2 end root
24–√
2 start root 4 end root
64 −−−√ x 2–√
start root 64 end root x start root 2 end root
42–√
There seems to be a typo in the available options. However, the correct square root of 128 is 8 start root 2 end root.
To find the square root of 128, we can use a calculator or the long division method.
Using a calculator:
1. Enter the number 128.
2. Press the square root (√) button.
3. The calculator will give you the answer, which is approximately 11.31.
Using the long division method:
1. Start with an estimate or guess for the square root. For example, we can start with 10.
2. Divide 128 by the guess: 128 / 10 = 12.8.
3. Take the average of the guess and the result of the division: (10 + 12.8) / 2 = 11.4. This new number is a better estimate.
4. Repeat steps 2 and 3, using the new estimate: 128 / 11.4 = 11.22. The average becomes (11.4 + 11.22) / 2 = 11.31.
5. Continue this process until you reach a desired level of accuracy or precision.
So, the square root of 128 is approximately 11.31.