Answer:
what is the question
Step-by-step explanation:
According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.
<h3>How to approximate the value of a irrational number by binomial theorem</h3>
Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:
(1)
Where:
- a, b - Constants of the binomial.
- n - Grade of the power binomial.
- k - Index of the k-th element of the power binomial.
If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:
√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
To learn more on binomial expansions: brainly.com/question/12249986
#SPJ1
Answer:
The answer (using BEDMAS) is 27
Step-by-step explanation:
The equation 9 x [(18+2) ÷ 5 - 1] is solved using BEDMAS or PEDMAS
First solve the smaller bracket
18 + 2 = 20
So then it becomes 9 x [20 ÷ 5 - 1]
Do the division inside the bracket next
20 ÷ 5 = 4
Then it becomes 9 x [4 - 1]
Do then subtraction within the bracket
4 - 1 = 3
Then it becomes 9 x 3
Finally solve 9 x 3 which equals 27
C. Because you don't need the 0,0 is nothing so it is 121.3