How do u do Square roots?!!!?

Question

Hey, I'm havin' a little trouble tryin' to figure out how to do square roots. I know that one way is to factorize the numberbut, are there any more methods? That aren't too complicated?!! Thanks for the help, this is very appreciated!!

Answer 1

there is a very simple way to get an approximation (about 3 sig-fic accurate) by using this formula:

let x = the number you want to take a square root of
y = the closest perfect square number
z = x - y

sqrt(x) = sqrt(y) + z/(2sqrt(y))

for example,

sqrt(8) = sqrt(9) + (8 - 9)/(2sqrt(9))
sqrt(8) = 3 + (-1)/(2*3)
sqrt(8) = 3 - 1/6
sqrt(8) = 2.83333...

when the actual value of sqrt(8) is 2.828427...

Answer 2

Square a 2 Digit Number Ending in 5

For this example we will use 25
• Take the "tens" part of the number (the 2 and add 1)=3
• Multiply the original "tens" part of the number by the new number (2x3)
• Take the result (2x3=6) and put 25 behind it. Result the answer 625.
Try a few more 75 squared ... = 7x8=56 ... put 25 behind it is 5625.
55 squared = 5x6=30 ... put 25 behind it ... is 3025. Another easy one! Practice it on paper first!

Square 2 Digit Number: UP-DOWN Method
Square a 2 Digit Number, for this example 37:
• Look for the nearest 10 boundary
• In this case up 3 from 37 to 40.
• Since you went UP 3 to 40 go DOWN 3 from 37 to 34.
• Now mentally multiply 34x40
• The way I do it is 34x10=340;
• Double it mentally to 680
• Double it again mentally to 1360
• This 1360 is the FIRST interim answer.
• 37 is "3" away from the 10 boundary 40.
• Square this "3" distance from 10 boundary.
• 3x3=9 which is the SECOND interim answer.
• Add the two interim answers to get the final answer.
• Answer: 1360 + 9 = 1369

With practice this can easily be done in your head.

Answer 3

Factorising the number is kinda dumb, because it only works sometimes, but it's worth a try in case it's a trick question to see who spots the easy way to the answer.

The long division method at the web site is exactly what was being taught in schools in the 1950's. I can remember! Once you have practised it a few times on 8- or 10-digit numbers, it becomes very easy, trust me.

Answer 4

http://www.nist.gov/dads/HTML/squareRoot.html
sqrt(66564)
Make pairs from right
6 65 64
Nearest square root of 6 = 2
Remainder = 6-4 = 2
Bring in next pair = 265
Bring double of last sqrt = 2 x 2 = 4 and add another number which will be next number to 5 = 45
5 times 45 = 225
remainder = 265 - 225 = 40
Bring in another pair = 4064
Bring in double of last number = 2 5 x 2 = 50
Put another appropriate number after 50
That number is 8
508 x 8 = 4064
4064-4064 = 0
Square root = 258
This simple division method

Answer 5

To find square root, there is another method called division method.

It's very easy yaw!

But u can do this method only in your paper but not in your mind like that factorisation method.

Unlike factorisation method, we can use this method to find square root to any decimal numbers.

Answer 6

finding the square root

Click on the URL below for a step by step procedure in finding the square root.

www.geocities.com/oosterwal/puzzle/squareroots.html

- - - - - -s-

Answer 7

thereis
1.the prime factorization method
2.the long division method
3.the use of calculator
4.sq.rt. means raised to 1/2 power
to find the sq.rt. of 56574
let x=56574^1/2
log x=log 56574^1/2
=1/2log 56574
=(1/2)(4.75261689)
=2.3763 approx
x=antilog 2.3763
=237.9 approx

Answer 8

I cant think of a way to explain it but here is a web site that I think explains it pretty well: http://www.nist.gov/dads/HTML/squareRoot.html

Answer 9

long division method is easy, its the best method

Answer 10

The best way to do it is with a calculator