Remark
You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.
Step One
Write the base 2 number in groups of 3 starting from the right and going left
11 100 111
Step Two
Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7
11 = 2*1 + 1 = 2 + 1 = 3
100 = 1*2^2 = 4
111 = 1*2^2 + 1*2 + 1 = 7
Step Three
Read the answer going down.
347 is the answer
Answer
347(8) = C
Answer:
The final estimate of √388 is 20.
Step-by-step explanation:
The number provided is:
<em>x</em> = 1388
Estimate the square root of 1388 as follows:
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
So, we now know that the square root of 388 lies between 19 and 20.
Check for 19.5²:
19.5² = 380.25
Check for 19.6²:
19.6² = 384.16
Check for 19.7²:
19.7² = 388.09 ≈ 388
The square root of 388 is closer to 19.7 or is approximately 20.
Thus, the final estimate of √388 is 20.
You may be able to use the 30, 60, 90 rule, but if not, it is a semicircle so you may be able to base your answer off that.