How to find out which number is squared

It is possible to open the square manually.

Here's how. 1 Every two digits from the unit digit to the left, if there is a decimal place every two quarters from the decimal point to the right, use the "," sign to separate the sections;

2 Find the square root of the first section on the left, which is the number on the highest square root;

3 Subtract the square of the highest digit from the first section on the left, and write the second section as the first remainder to the right of their difference.

4. Multiply the number on the highest digit of the quotient by 20 and divide the first remainder by trying to obtain an integer as a test quotient (if the largest integer is greater than or equal to 10, use 9 or 8 as the test quotient);

5 Multiply the highest digit by 20 and multiply by the test quotient. If the resulting product is less than or equal to the remainder, the quotient is the second digit of the square root; If the product obtained is greater than the remainder, the test quotient will be reduced one by one until the product is less than or equal to the remainder;

6 In the same way, continue to find the number on the square root.

This is to take this number apart. The smaller the dismantle, the better.

For example, if you split 16 into 2*2*2*2, you can see that it is 2 to the 4th power, and it is also seen to be 2 squared, and *2 is squared.

For example, 42 = 2*21 = 2*3*7 is obviously 2 3 7 does not repeat the number, so 42 is not a perfectly square number.

For example, 52=2*26=2*2*13, so it is 2 squared *13, and the square is 2 times the root number 13

Hope you are satisfied.

If you have a calculator, go to the root number.

If not, ......Write down the squares of some commonly used numbers, compare the numbers to be squared with those numbers, find out the approximate range and try slowly, of course, in middle school, it is enough to remember the square numbers from 1 to 20.

1.Let's start with a rough idea: the range is 2500=50x50 60x60=3600, so this is a 50--59 square 22916 single digits are 6 and can only be 4 or 6 squares of 3

Establish ten digits and this can only be 5 so 54 or 56 42916 is more biased towards 2500 so is 54 5ok I hope that the summary of my own will help you o( o

In fact, a lot of it is memorized...

The rest is to decompose the prime factors.

You can search for freehand squares, in fact, those special ones are memorized, or roughly estimated and then verified.

The square is calculated as follows:

1. If it is a single-digit number, you can directly multiply the single-digit number itself when calculating.

2. If it is a two-digit number (the method is the same as that of a two-digit number), you can split this number into two single digits, and then multiply the two single digits respectively, and then multiply them to get the result. For example, 12 squared: 12 * 12 = 3 * 4 * 3 * 4 = 3 * 3 * 4 * 4 = 9 * 16 = 144.

3. If the number is a multiple of ten, it can be split into a number after multiplying ten, and then multiplying the number itself, and then multiplying by one hundred to get the data, for example: the square of 20 can be split into 20 * 20 = 2 * 2 * 100 = 400.

The square of a number is a number * a number.

Let this number be x

then, x 2 = x*x.

It's x*x.

1. Calculate the area:

In life, square meters are often referred to simply as "square meters" or "squares". 1 square is 1 square meter = 1 meter x 1 meter.

For example: the size of a long and wide room is square meters.

Solution: Area s = length x width = centimeter centimeter = meter meter = square meter.

2. The square of a number:

The square of a represents a a, which is abbreviated as a, or can be written as a a (the first square of a multiplied by the first square of a is equal to the 2nd power of a).

For example: 4 4 = 16, 8 8 = 64, and the square symbol is .

A: To calculate the square of a number, you must memorize it from the most basic multiplication method: for example:

1＾2＝1，2＾2＝4，3＾2＝9，4＾2＝16，5＾2＝25，6＾2＝36，7＾2＝49，8＾2＝64，9＾81。When you are proficient in these multiplication formulas, the square of the unit number reaches the level of listening to the answer. At this time, you can calculate the square of the double digit, and the square of the double digit must be increased by one digit from the singular number for evolutionary calculation, and when you reach a very proficient level, you can also reach the level of reporting the number to get the answer.

10＾2＝100，11＾2＝121，12＾2＝144，13＾2＝169，14＾2＝196，15＾2＝225，……99 2 8901, from this, we can get a calculation rule: use a verbal decision to perform a quick calculation: the first multiplication of the first, the tail by the tail, the first and last times the middle of the multiplication, the forward position that can be carried forward.

When the square of the two-digit number is very proficient, the square of the three-digit number is easy to get the answer. For example: 100 2 10000, 101 2 10201, 102 2 10404, 103 2 10609, ,......999＾2＝899001。

And so on to the higher digits squared.

Squared refers to a number to the 2nd power. Expressed as n 2.

n can be any number.

The result of calculating the quadratic is n*n. Represents the multiplication of 2 n.

If n is 5, then 5*5=25.

If n is 9, then 9*9=81.

8*8=64 can represent 8 2.

Actually, the notation is: n

Multiplication. Just multiply two of these numbers.

Analysis: Find the square of 5, equation: 5x5=25

Find the square of -2 and calculate the equation -2x(-2)=4

Extended Materials. Square Cubes Other Formulas:

1. Square difference formula: a -b = (a + b) (a-b).

2. Perfect flat mode: (a-b) = a -2ab+b.

3. Complete cubic formula: (a+b) = a +3a b+3ab +b.

4. Sum of cubes: a + b = (a + b) (a -ab + b).

5. Cube difference: a -b = (a-b) (a + ab + b).

With multiplication. Just multiply two of these numbers.

Analysis: Find the square of 5, equation: 5x5=25

Find the square of -2 and calculate the equation -2x(-2)=4

Hello, glad to answer for you. 1. Squared is an operation, square = length * width = 130cm * 80cm = 10400cm * For example, the square of a represents a a, abbreviated as a2, and can also be written as a a (the first square of a times a is equal to the 2nd power of a), for example, 4 4 = 16, 8 8 = 64, the square sign is squared is an operation, the square of a number is the product of the number multiplied by itself, and the square can also be regarded as the value of finding the power of the exponent 2. For example, the square of a can be expressed as a In addition to calculations in algebra, a square is also a unit of area, such as square meters, square centimeters, etc.

Hope it helps. Have a great day.

The sum of squares formula n(n+1)(2n+1) 6 i.e. 1 2+2 2+3 2+....+n 2=n(n+1)(2n+1) 6 (Note: n 2=n squared) Proof 1 4 9 ....＋n^2＝n(n+1)(2n+1)/6

1 to 25 square formula: 1-9 squared: the original number plus the mantissa number, the square of the tail of the celery pants; Every 10 rounding; 11-19 squared:

Add 15 to the short tail and 10 to reduce the tail and then square, accounting for 2 places; 20-25 squared: tail plus twenty-five, tail square occupies 2 places.

Square roots from 1 to 20: 1 = 1, 2 = 4, 3 = 9, 4 = 16, 5 = 25, 6 = 36, 7 = 49, 8 = 64, 9 = 81, 10 = 100, 11 = 121, 12 = 144, 13 = 169, 14 = 196, 15 = 225.

squaredThe nature of the number

1. If the concept of square numbers is extended to rational numbers, then the ratio of two square numbers is still a square number.

2. An integer that does not have a square number other than 1 as its factor, it is called a number without a square factor.

3. The sum of four squares theorem states that all positive integers can be expressed as the sum of up to four square numbers. In particular, the sum of three square numbers cannot represent a number of the shape of 4k (8m+7). If a positive integer can be expressed to the odd power of a factor that does not have a prime number of the shape 4k+3, then it can be expressed as the sum of two square numbers.

4. The square number must not be a complete number.

5. The square of the odd number is divided by 4 to balance 1, and the square of the even number is divisible by 4.

a a b b b is the square of a a b b a is the square of b 2 2 4 4 is the square of 2 3 3 9 9 is the square of 3 4 4 16 16 is the square of 4 5 5 25 25 is the square of 5 is the square of 5 is the square of the square is the square of the square.

Square difference formula: (a+b)(a-b)=a-b.

Sum of squares formula: n(n+1)(2n+1) 6.

The formula is as follows: the sum of squares formulas n(n+1)(2n+1) 6, i.e. 1 2+2 2+3 2+....+n^2=n（n+1）（2n+1）/6。The sum of squares formula is a common formula used to find the sum of squares of successive natural numbers, and its sum can also be called the number of four-bend finger pyramids, or the number of pyramids, which is the series of square numbers.

Introduction:

The natural number of years refers to the number of things that are used to measure things or the number that indicates the order of things in trouble. i.e. digital 0, 1, 2, 3, 4 ......The number represented. Natural numbers start with 0 and follow each other to form an infinite collective.

Natural numbers are orderly, infinite. It is divided into even and odd numbers, composite numbers and prime numbers, etc.