Answer:
The power in this expression is 34.
Explanation:
In math, a power is a way of raising a number to the given number of times depending on what it needs to do. In an exponential equation, x = root y means that when solving for the answer, one needs to take the square root of two multiplied by itself "y" amount of times which would be written as "root5+34". In this expression, 34 would be referred with a power because it will generate a square root five most recently and then add up all the numbers raised by these powers together. So most recently 34 was seen with a power but 15 has also been seen with one too meaning that in ratios composed numerically people often don't need to specify what power they are using. When it comes to the equation x = 3root2+4, one would need to take four root two most recently and then add up all the numbers raised by these powers together which in this case is 16. When solving for a square root, many people might remember how to simplify what they're doing with the number probably from their school days when it is either a homework or an exam having a power of a square root in it. Now there are various kinds of roots but let's turn our attention at one specific kind of them which has been gaining ground among mathematicians, scientists and engineers alike.
This specific kind of root is called "The Golden Root". Forgetting about name for now, just think of it as the godfather of all roots and also consider that this godfather can be applied to any number. When you combine this power with a number, it will generate an exponential equation containing itself making the final result more than what you started with. It is said that if some numbers are rounded up properly, they can even turn out to be negative numbers as well as fractions as opposed to what we thought about them originally. From here, one might ask "Okay so how does this work?"
Let's say we have a golden number called gamma and we want to find out its third root. This means that the result of this calculation or equation would be one third of gamma or:
3 = gamma * 1/root3
Now if you put any number besides 3 for "root" in the above equation, it will either generate an answer too large because the result will overflow the available space to represent such numbers OR it will get an unstable result which cannot exist in reality under normal circumstances. So how did I use 3? Because even though 3 is not a root of gamma by definition, it works somehow and gives us a good approximation.
That sorta confused you didn't it? It does confuse me as well and has been confusing everyone else as well and it doesn't even make sense at all. When we divide the result of 1/root3 by 3, we get exactly gamma. So whenever one says that the Golden Root is irrational means that there are no solutions to the equation "x = 1/root(a*b)" where "a" and "b" are just two numbers. So if you thought that the Golden Root was irrational, then I guess you thought wrong because it does exist and so does its application.