Original formula =2 root number 2. This is the simplest root.
Another example is the root number 12= root number (square of 2 *3)=2 root number 3.
Root number 24= root number (square of 2 * 6) = square root of 2 6.
Root number 27= root number (square of 3 *3)=3 root number 3
The complete square number can be derived from the square root, but it is not a complete square number, so it cannot be derived.
How to calculate the root number, such as how to simplify the root number 7, and which root number is calculated by decomposing two or more identical numbers according to the numbers in the root number and then opening the root number.
Such as 16=(4*4)=4.
27=(3*3*3)=33
7 is the simplest state and can't be simplified any more.
How to calculate the approximate values of root number 0.5 and root number 8, and how to calculate the approximate values of root number 0.5 and root number 8 and root number 0?
It is known that √2≈ 1.4 14,
√0.5=√( 1/2)=√(2/4)=(√2)/2≈0.707,
√8=√(4×2)=2√2=2.828,
√0=0.
How to calculate the number in the root number, for example, the root number 2 is 1.45438+04 1. How to calculate? For example, the root number a=b is b * b = a, and in addition, it is usually calculated directly by a calculator. Manual root sign method is only applicable to any integer or finite decimal square.
Because you can't write complicated formulas online, you can only try to write them out and explain them orally:
Suppose an integer 1456456, the root sign should first start with a single digit, and every two digits should be marked, which is represented by' here, so the marked number becomes 1'45'64'56. Then according to the decimal place you want to open, add 0 after the decimal point. If the example here is rounded, add 2 zeros (you will understand this practice).
Several problems that need to be explained in the solution;
1, ... is meaningless in the formula, because it can't be typeset online, but it is added for typesetting neatly.
2. In order to distinguish decimal points, decimal points are used. Say, and they are all for typesetting needs.
3. Except' in 1'45'64'56, which has special significance and is useful in solving problems, others are added for typesetting, aligning positions and explaining the source of numbers, and cancellation has no effect.
........... 1..2..0..6。 eight
.........-
..... 1../.. 1'45'64'56.00........( 1)
............. 1
............-
.......22..|.45.................(2)
..............44
..............-
........240.|. 1'64..............(3)
....................0
...............-
.......2406.|. 1'64'56...........(4)
.................. 1'44'36
.................-
........24 128.|.20'20'00........(5)
.................... 19'29'74
..................-
....................... 10'26
Step (1) is to square the number before the first' from the left, which is 1 of this question, and write the number on it.
Step (2) is to write down the number between the second number and the first number, that is, 45. As the dividend, multiply the number 1 written in the previous step by 20 as a part of the divisor, and the other part will judge to get a number A, so that the divisor is (1*20+a).
Step (3), remove the remainder 1 calculated in the last division, and at the same time remove the number 64 between the third number and the second number to form the number 164 as the dividend, then repeat the above method, multiply the number 12 written above by 20, and add one as this step.
Step (4), if you can understand it before, this step is actually just a repetition of the previous step. Remove 164 and 56 to form dividend 16456, then multiply 120 by 20, and add 6 to form divisor, and 6 itself is quotient, and the remainder is 2020.
Step (5) is still repeated. It is important to note that for figures after the decimal point, it is enough to use 0 to make up the position, and the practice remains unchanged.
These are the basic steps. To sum up, divide the first quantile first and then square the first quantile. If there is a remainder, it will move down and the second quantile will form a dividend. The divisor consists of the quotient obtained before multiplied by 20 and a certain number, and this number will appear in the form of quotient in this step, so it is necessary to judge which number is 0-9 through mental calculation or oral calculation, and then move down until the remainder is obtained.
It should also be noted that the remainder obtained in each step must not be greater than the divisor or less than 0, otherwise it will be invalid, indicating that the choice of quotient is wrong.
How to calculate the numbers in the root sign? For example, the root number 2 is 1 √2, which is an irrational number, that is, an infinite cycle decimal, which is about 1.4 14.
Is twice the root number 2 equal to the root number 8? How to calculate it? Equal, take 8 as 4 times 2, 4 roots, get 2 roots 2.
How is the root number calculated? Manual root sign method is only applicable to any integer or finite decimal root. Because there is no complicated formula on the Internet, we can only write it out as much as possible, and then explain it orally: suppose an integer is 1456456, and the root number should start from the unit, and every two digits should be marked, which is represented by' here. Then it becomes 1'45'64'56 after the tag. Then add 0 to the decimal point according to the number of decimal places to be opened. If the example here is an open integer, two zeros will be added. The reason will be clear when you understand this practice. ) The solution is as follows: several problems that need to be explained in the solution: 1, the ... is meaningless in the formula because it is online. It's all for typesetting. 3. Except "has special significance and helps to solve problems" in 1'45'64'56, the rest are added for typesetting, aligning positions and explaining the source of numbers. The cancellation of ...........1... 2 ... 0.8-...1...1'45' 64' 56.00 ... (1) ............./kloc. ............-.......22..| .45.................(2) ..............44 ..............-........240.|. 1'64..............(3) ....................0 ...............-.......2406.|. 1'64'56...........(4) .................. 1'44'36 .................-........24 / Kloc-0/28. | .20' 20' 00 ... (5) .................... 1 9' 29' 74 ..................-.......................10' 26, where step (1) means before the first' from the left. It is 1 in this problem that is used to make the square root, and the number is written on it. Step (2) is to write down the number between the second' number' and the first' number', that is, 45, as the dividend, multiply the number 1 written in the previous step by 20 as part of the divisor, and the other part will be judged to get a number A. This step judges that A should be 2, so the divisor is 22, and 2 is written as/kloc-. Step (3), the remainder 1 calculated in the previous division is removed, and the number 64 between the third number and the second number is also removed to form the number 164 as the divisor. Multiply the number written above 12 by 20 and add a number that can be used as the quotient of this step to form the divisor. Because this step determines that only 0 meets the conditions, the divisor is 240, the quotient is written on 0, and 164 is moved down to the remainder. Step (4), if you can understand it before, this step is actually just a repetition of the previous step. Remove 164 and 56 to get the dividend 16456, then multiply 120 by 20 and add 6 to get the divisor. At the same time, 6 itself is the quotient, and the remainder 2020 is obtained. Step (5) is still repeated. In particular, for numbers after the decimal point, 0' s complement number is enough, and it is still two digits plus one. To sum up, divide the first quantile first and then square the first quantile. If there is a remainder, it will move down and the second quantile will form a dividend. The divisor consists of the quotient obtained before multiplied by 20 and a certain number. This number will appear in the form of quotient in this step, so you need mental arithmetic or oral arithmetic to determine which number this number is from 0 to 9, and then move the remainder down until you get the answer. It is also necessary to explain.
How to calculate the root number 5 under the root number, such as 2 1 under the root number MINUS 4 times the root number, and change the formula in the root number as much as possible.
(a-b√c)？ In the form of
Then you can write a prescription directly.
Get |a-b√c|
Of course, it doesn't matter if you multiply the difference constant before and after.
Finally, add a few root characters.
How to calculate the root number 5 plus the root number 7? How is the sum of the root numbers calculated? 1, √5+√7 is the simplest form.
2, if you need an approximate value, you can find the square root separately, and then add and sum:
√5+√7==2.236+2.646=4.882
How to calculate the root number, such as 13 under the root number and 1 1 under the root number, do you want to calculate it? You can roughly estimate, for example, under the root number 13, you think that the square of 3 is 9, the square of 4 is 16, and 13 is between 9 and 16, then it should be 3 points under the root number 13, and then continue to estimate. To get an accurate numerical value, you can only use a calculator, of course, the wireless decimal system.