Answer:
It's an irrational number
Step-by-step explanation:
Examples:
√2 = 1.4142135623730950488016887242096980785696718...
π = 3.14159265358979323846264338327950288419716939...
e = 2.718281828459045235360287...
∛10 = 2.1544346900318837217592935665193504952593449421921...
and more
If the number has a finite or repeating decimal, then it is a rational number.
Examples:
2.75
-1.3333...
0.4545454545...
1) 3/5
2) -10
3) -5/3
4) -3/2
5) -5
6) 4/5
7) 3/5
8) 1/2
9) -1/2
10) -3/7
Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.
According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:
1
1 2 1
1 3 3 1
1 4 6 4 1
So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
Here, you want (3 + b)^4. Here's what that looks like:
3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]
Which coeff did you want?
We write an inequality:



This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.

is a linear function while

is an exponential one (with limit zero as

approaches

). We see that

at approximately

and

.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at

. By observing our graph, we see that

when

or

.