How to do the square of a number in mathematics and what is the square of a number?

1.First, find out which two squares of the square number you want to open.

2.Then subtract the square of the smaller number from the square of the larger number.

3.Divide the difference between the number of squares to be opened minus the smaller number of squares by "2."The results.

4.Add the smaller number to the result, which is the value of the square to be opened.

For example: 150 is between 12 and 13, 12 is 144;13²＝169。（150-144）÷（169-144）＝4/25。So (12+4 25) 150 square.

If you ask.

x 2=3 you can write as.

The root number is 3, but if you want to ask how to approximate the calculation.

Root number 3 Then I think you can use even fractions.

Construct a 1-dimensional 2-order equation with the root being.

1 root number 3 and.

1-Root No. 3, two roots and 2

The product of two is 2

So according to the Vedic theorem.

x^2-2x-2=0

x^2-2x-2=0

x=2+2/x

On the right side of the equation, keep replacing x with 2+2 x

You will get in turn.

x=2+2/x

x=2+2/(2+2/x)

x=2+2/(2+2/(2+2/x))

x=2+2/(2+2/(2+2/(2+2/(2+2/(2+2/...

This x is bigger than 2, so it can only be the positive root "1 root number 3".

We can use this number 1 to get the root number 3

Then we bring in a random number to estimate x, for example we can change the last x to 2 and try it.

x=2+2/x=2+1=3

x=2+2/(2+2/x)=2+2/3=

x=2+2/(2+2/(2+2/x))=2+2/x=2+2/(2+2/(2+2/(2+2/x)))=2+2/x=...=2+22/30=41/15

x=...=2+30 41=112 41=As you can see, it's very close.

1 root number 3

Hello: Math prescribing with a scientific calculator.

Do. For example: 5 to the 3rd power.

10 to the 5th power.

Kaifang (English rooting), refers to finding the square root of a number of Yun Zheng Pi Li calculation, forPowered by(see the "square root" entry). In ancient China, it also refers to the positive roots of quadratic and higher-order equations (including binomial equations).

n of the number a (n is a natural number.

The power root refers to the number where the power of n is equal to a, that is, the number b that fits b to the nth power a. For example, the 4th power root of 16 has 2 and 2. The 2nd power root of a number is called the square root; The 3rd power root is called the cube root.

The power roots are collectively referred to as square roots. The operation of finding the square root of a given number is called an open square. The question of how many square roots there are in a number is related to both the range of the number and the number of square roots.

Square root and arithmetic square root.

1. The two have an inclusion relationship: the square root contains the arithmetic square root, and the arithmetic square root is the non-negative one in the square root.

2. The conditions of existence are the same, and only the square root and arithmetic square root can be grasped if the non-negative numbers are grasped.

3. The square root of zero and the arithmetic square root of zero are both zero.

Definition of square: Square, refers to the operation of finding the square root of a number, which is the inverse of the power.

Understanding of the square: For example, the square of 2 is 4, the square of 3 is 9, the cube of 2 is 8, and the cube of 3 is 27. Then the inverse operation, 4 open square is 2 (open quadratic, take a positive number), 9 open square is 3, 8 open square is 2, 27 open square is 3.

The origin of the name of the opening square: "Pythagorean square diagram" on the volume of "Zhou Ji Sutra".

Han Zhao Junqing. Note: "The Pythagorean multiplies each other, and it is a string, and the square is divided, that is, the string is also." Translation: The two sides of a right triangle are added to each square and the third side is given by square it.

Extended Materials. Nature:

In the range of real numbers, there is only one odd root of any real number, e.g. the 3rd root of 8 is 2, and the 3rd root of -8 is -2

The even power root of a positive real number is two numbers that are opposites of each other, e.g. the 4th power root of 16 is 2 and -2.

There is no even root for negative real numbers; Any power root of zero is zero.

Evolution. Definition: Prescription refers to the calculation of finding the square root of a number, which is the inverse of the power of the square.

Understanding of the square: For example, the square of 2 is 4, the square of 3 is 9, the cube of 2 is 8, and the cube of 3 is 27. Then the bad luck loss socks are not counted, 4 open is 2 (open quadratic, take a positive number), 9 open is 3, 8 open is 2, 27 open square is 3.

The origin of the name of the prescription: "Zhou Ji Sutra".

On the volume, the "Pythagorean square diagram" Han Zhao Junqing notes: "The Pythagorean multiplies each other, and it is a string, and the square is divided, that is, the string is also." Translation: Right triangle.

The two sides of each square are added to the square to get the third side.

For example, 136161 this number, first we find a number that is close to the square root of the 136161, and choose any one of the Tong Bixiao, for example, any number between 300 and 400, here we choose 350, as a representative. We do the math and then we do the math again.

Every two digits from the single digit to the left is a section, if there is a decimal place every two quarters from the decimal point to the right, use the "," sign to separate the sections; Find the perfect square number that is not greater than the number of the first section on the left.

for "business"; Subtract the obtained quotient from the first section on the left, and write the second section number as the first remainder to the right of their poor shards.

Multiply the quotient by 20 and divide the first remainder by the largest integer obtained as the test quotient (if this maximum integer is greater than or equal to 10, use 9 or 8 as the test quotient);

48 = 16 3, the root number is: 4 and the root number 1 3 or written as (4 and the root number 3) 3, mathematics to open the quadratic you need to remember several groups of square numbers such as 3 = 9, 4 trembling which = 16, 5 =25 6 = 36, 7 = 49, 8 = 64 9 = 81 and then split according to the number given by the question, such as question 48 can be split into 4 3.

48=16 3, the open root number is: 4 and the root number 1 3 or written as (4 and root number 3) 3

You need to remember several groups of square numbers, such as 3 = 9, 4 = 16, 5 =25 6 =36, 7 = 49, 8 =64 9 = 81 and then split according to the number given by the question, such as question 48 can be split into 4 3

169 open square steps: 1Divide 169 from right to left into two quarters 1,69;2.

First, 1 is squared, and 1 is quotient; 3.Take quotient 1 as the divisor, multiply the two to get the product of 1, and subtract it from 1 to 0, and the digit has been divided; 4.Then 69 square, the divisor is the quotient 1 times 2 to get 2, as a ten-digit number, take the single digit as 3, so that the divisor is 23, and the quotient is 3; 5.

69 minus 69 gives 0, which has been removed. So the opening of 169 is 13

Here's a way::

First, divide the integer from right to left into two paragraphs, and square them one by one. If you don't understand this, let's give an example. 14641 open square (1) first segmented from the right two sections 1'46'41, open from right to left, 1 open square is obviously 1, and then use the number that comes out is 1, multiply by 20 (for no reason, each step is multiplied by 20), and then open 46, here the division.

It's a bit special, obviously 46 divided by 20 is closer to 2, so on 2, at this time 20 will add 2, become 22, 22 * 2 = 44, and then open 2,241, which has to use 12 times 20, = 240, obviously on 1,240 + 1 = 241, just divide. So 14641 is 121.

The answer upstairs is that the pen is squared, which is difficult to understand and memorize, and it is no longer mentioned in the textbook. In fact, the open square is just the inverse of the square, and you can only remember some by memory, such as: 12 2=144, so the square root of 144 is 12

For open squares that are not special numbers, one way is to estimate, such as the square root of 180, because 169 180 196, so its square root is between 13 and 14. If you want to get the square root of a number relatively accurately, you can look up the square root table in the math table, but this method is basically not used now, and the other method is to use a calculator to calculate.

However, I would recommend that you take good classes and listen to them, which is the best way.