On a problem of n-th root_ 1] Why? For example, when n = 0.5, 0.5 √ A is not OK? If 0.5 √ a = x, then x ^ 0.5 = a is not OK? I'm the kind of person who doesn't give up until I fully understand~ got it! \(^ o ^) / if it's convenient, please explain to me why n is negative in the strict sense. I can't prove it myself. I have to point out that x ≠ 0, a ≠ 0 (sometimes a > 0) has much to do with n?

On a problem of n-th root_ 1] Why? For example, when n = 0.5, 0.5 √ A is not OK? If 0.5 √ a = x, then x ^ 0.5 = a is not OK? I'm the kind of person who doesn't give up until I fully understand~ got it! \(^ o ^) / if it's convenient, please explain to me why n is negative in the strict sense. I can't prove it myself. I have to point out that x ≠ 0, a ≠ 0 (sometimes a > 0) has much to do with n?


What does this restriction mean
If it's less than 1, as you wrote
"When n = 0.5, 0.5 √ A is not OK? Suppose 0.5 √ a = x, then x ^ 0.5 = a"
X ^ 0.5 = a is equivalent to 2 √ x = a, right
Then back to the root, if 0



The limit of n →∞ when n →∞


When n tends to infinity, it is n ^ (1 / N) = 1. Let y = n ^ (1 / N) take the logarithm LNY = (lnn) / N, n tends to infinity, the denominator of molecules tends to 0. The law of lobita is that n tends to infinity (lnn) / N = (1 / N) / 1 = 1 / N = 0, so LNY = 0, y = 1. So when n →∞, the n-th root of n is n, the denominator tends to 1



How to find the root of the nth power of a


(a^n)^1/n
=a^(n*1/n)
The absolute value of a when n is even
A when n is odd



Excellent lecture notes of primary school mathematics


"Isosceles triangle property theorem" lesson draft one, said that the teaching material this lesson is in the student has grasped the general triangle basic knowledge and the preliminary inference proof foundation to carry on the study, is undertaking trains the student to learn the analysis proof mentality the duty, in raises the student logical inference ability aspect to have the non



There are some apples in a box. A child takes apples out of the box. The rule is: always take out half of the total number of apples in the box every time
After 199 times, there are still two apples in the box. How many apples are there in the box at the beginning,
I didn't learn anything X or y. To calculate the trial and flow chart,


Drinking is singing,
How much is life?
For example, Chaolu,
It's hard to get rid of the day
How to relieve worries,
Only Dukang
the moon is bright and stars are few,
Three turns around the tree,
What can we do?
The mountain is not high,
The sea is never weary of depth



There are 120 standard rooms in a hotel in junior high school. When the price of standard room is 100 yuan, it is full every day. According to the market survey, the price of standard room is between the average housing rate
There are 120 standard rooms in a hotel. When the price of the standard room is 100 yuan, it is full every day. According to the market survey, the relationship between the price of the standard room and the average housing rate is as follows
Average daily rent 110 120 130 140 150 160 170
Average daily rental: 114 108 102 96 90 84 78
If other factors are not taken into account, when the hotel raises the price of the standard room to how much yuan, the daily operating income of the guest room is the largest


The results show that there is a linear functional relationship between the average number of rental houses (rooms) and the average daily rent (yuan), and a quadratic functional relationship between the total income and the average daily rent (yuan)



Someone wanted to borrow a book from the professor. The professor said that if you help me chop for ten days, I'll give you the book and another 20 yuan. As a result, he only split for seven days. The professor gave him the book and paid another 5 yuan. What's the price of this book?


10-7=3
15 divided by 3 = 5
Book = 5 * 7-5 = 30 yuan



1. Given two rectangles, the ratio of the length and width of the first rectangle to the length and width of the second rectangle is 5:4:3:2, and the perimeter of the first rectangle is 72cm longer than that of the second rectangle, what are the areas of the two rectangles?
2. Each carpenter is equipped with 4 double desks or 10 single chairs a day, and there are 9 carpenters at present. How to allocate the work to make the desks assembled in one day match the chairs?


1. Let the length and width of the first rectangle and the length and width of the second rectangle be 5K, 4K, 3K and 2K respectively
Then 2 * (5K + 4K) - 2 * (3K + 2K) = 72 and K is 9, so the length and width of the first rectangle and the length and width of the second rectangle are 45, 36, 27 and 18, respectively
2. Set X workers as double desks, and (9-x) workers as single chairs
2 * 4x = 10 * (9-x) the solution of X is 5, so there are 5 workers as double desks and 4 workers as single class chairs



How many feet is one square foot
How to calculate the overall area of sheepskin?
A piece of sheepskin is 1.5 meters long and 1 meter wide. Help to figure out how big (several) square feet this piece of sheepskin is!
Thanks for the bonus points!!


1.5 square meters (M2) = 13.5 square feet
Learn the unit knowledge of weights and measures, as well as the accurate conversion between similar units,
China Mobile Market: Unit Converter
There are screenshots and more detailed instructions for reference



As shown in the figure, two points E and f divide line AB into 2:3:4, and D is the midpoint of line AB, FB = 24
Finding the length of DF
2. AE: what is ed
A____ E____ D___ F__________ B
General idea


Let the ratio be t
Then AE = 2T
EF=3t
FB=4t
Because FB = 24
So t = 6
AB=2t+3t+4t=9t
So AB = 54
D is the midpoint of ab
So DB = 1 / 2Ab = 27
DF=27-24=3
EF=3t=18
DE=EF-DF=18-3=15
AE=2t=12
AE:ED=12:15=4:5