What is the value of 55−−√ to the nearest tenth? Show or explain how you got your answer.
1 answer:
9514 1404 393
Answer:
√55 ≈ 7.4
Step-by-step explanation:
The easiest way to find the square root of 55 is to use a calculator.
√55 ≈ 7.4161984871
Rounded to the nearest tenth, this is ...
√55 ≈ 7.4
__
You can make a first approximation of the root by linearly interpolating between the roots of the perfect squares* on either side of 55.
√49 = 7
√64 = 8
√55 ≈ 7 +(55 -49)/(64 -49) = 7 6/15 = 7 2/5
√55 ≈ 7.4
_____
* For numbers greater than 3.3, this sort of approximation will give the value of the root accurate to the nearest tenth. The approximation is better for larger numbers.
You might be interested in
These tables have infinitely many values, but the simplest ones would be:
a) x|y
3|5
6|10
9|15
b) x|y
2|1
4|2
6|3
Your graph for c would look like the attached picture
a) x|y
3|5
6|10
9|15
b) x|y
2|1
4|2
6|3
Your graph for c would look like the attached picture