How do you find the square root of a number?

Question

I know that 3*3=9 but that dont work backword like 9/9=1 not 3, how do you find this.

Answer 1

You are seeking how to solve the inverse operation to squaring a number. An "operation" in math is some rule that combines numbers (let's keep it simple here) and gives you another number. For example, squaring a number is an operation on 1 number -- the square of 3 is 9, the square of 4 is 16, etc. An inverse operation is a way to "undo" an operation - and get back to where you started. Kind of like the game Jeopardy! - where you're starting with an answer - and are seeking the question.

The inverse of multiplication is division....but the inverse of squaring a number is NOT division - which is why the example in your question doesn't work.

Every number has a square root - in other words, given a number, there is some number out there that, when multiplied by itself gives you the number you have chosen. However - without a calculator - the process is very complicated.

There are many different methods for doing this -- some are ancient, some are new....some are more approximations rather than exact. The link I've given is for the Wikipedia article about computing square roots - and it has the most common methods. Which method you use is dependent on how exact you want to be, and your mathematical aptitude. Good luck.

Answer 2

easy. a square root is when you multiply the same two numbers like in these examples provided to you:

3 x 3 = 9 or the square root of 9 is 3
4 x 4 = 16 or the square root of 16 is 4
5 x 5 = 25 or the square root of 25 is 5
6 x 6 = 36 or the square root of 36 is 6
7 x 7 = 49 or the square root of 49 is 7
8 x 8 = 64 or the square root of 64 is 8
9 x 9 = 81 or the square root of 81 is 9
10 x 10 = 100 or the square root of 100 is 100

Answer 3

The most common method of square root calculation by hand is known as the "Babylonian method". It involves a simple algorithm, which will bring you closer and closer to the actual square root each time it is repeated. To find r, the square root of a real number x:

1. Start with an arbitrary positive start value r (the closer to the square root of x, the better).
2. Replace r by the average of r and x / r.
3. Repeat steps 2 and 3.

Answer 4

You first analyze the # by looking at its factors. For example, let's say we want to find the square root of 16. First, we'll look at all the factors of 16, and which ones multiply with each other to make 16:

16: 1, 2, 4, 8, 16 -----------> 1(*16), 2(*8), 4(*4), 8(*2), 16(*1)

Then you look for which # was multiplied by ITSELF:

You saw above that 4 was multiplied by itself. Therefore, the square root of 16 is 4. For harder ones, you use a calculator.

Answer 5

use a calculator the tick sign thing but u should know the simple ones eg. square root of 64 = 8

Answer 6

prime factorise the number whose root you want tofind out and for every pair of factors inside the root sign pull outone factor
e.g. rt 1024
1024=2*2*2*2*2*2*2*2*2*2
rt 1024=2*2*2*2*2=32

Answer 7

divide the number by itself

Answer 8

use a calculator and use the sqrt button.

Answer 9

http://mathworld.wolfram.com/SquareRoot.html