The most reasonable estimate for "two times the square root of ten and three-fourths" is B. 6.5
How to find the reasonable estimate ?
The square root of 10 and three-fourths is the same as the square root of 10.75 (since three-fourths is 0.75).
To find two times the square root of 10.75, you can calculate:
= 2 x √10.75
Now, calculate the square root of 10.75:
√10.75 = 3.28 (rounded to two decimal places)
Now, multiply by 2:
2 x 3.28 = 6.56
In conclusion, the most reasonable estimate for two times the square root of ten and three-fourths is 6.56