Can someone help me figure this math out?

Question

i need to know how to work out something thats in a square root. i know i can plug it in to a calculator but i need to know how to figure it out on my own as well as how you work it out with examples...if you can start with giving somewhat of a summary of square root and how it works, etc. tht be even better!!

help please!!

Answer 1

Personally i wouldn't actually recommend going online for math questions on this website - Referring to "Yahoo Answers".

I suggest searching on Google for something like this, there are programs you can download to help/train you with this type of math. Maybe there is someone who can help you with this though.

  

Answer 2

It depends. Some numbers can't be simplified under roots. However, here's the general method:

1) Break down the number into its prime factors. A factor tree on the side can help here.

2) Any factor that appears N times, where N is the root (i.e. 2 times for square roots, 3 times for cube roots, etc.), can be taken out of the radical. To do that:

  i. Remove N (for square root, N=2) of them from the prime factor list.

  ii. Multiply that factor by the coefficient of the radical (the number outside).

3) Continue until all factors occur less than N times.

4) When you're done, multiply the remaining factors to get the number under the radical.

For example, we can use √76.

1) Break it down. 76's prime factors are: 2, 2, and 19.

2) Look for any factors that occur twice (since we are doing SQUARE roots). In this case, 2 does.

  i. We remove both 2's from the list, leaving only 19.

  ii. We multiply 2 times the coefficient of the radical. Right now, there is none, which is an implied 1 (because 1*anything=itself).

3) Now we have 2√19. We look for more factors that appear twice, but there are none, so we continue on to step 4.

4) Multiply all the remaining factors together. All we have left is 19, so we're done.

The simplified radical, then, is 2√19.

-IMP ;) :)  

Answer 3

okay I'm tired but I'll try, a square root is the number that is squared to make the result like nine squared is eighty-one. the square root of eighty-one is nine.

Answer 4

What exactly are you asking?  Are you asking how to calculate a square root by hand?  If so look at the link.

http://www.nist.gov/dads/HTML/squareRoot...

Answer 5

you just have to memorize that

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

etc.

so that sqrt16 = 4

sqrt9 = 3

sqrt4 = 2

etc...

or check this link for manual square root extraction

http://math.arizona.edu/~kerl/doc/square...

Answer 6

Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 …

The square root of a number, n, written

is the number that gives n when multiplied by itself. For example,

because 10 x 10 = 100

Examples

Here are the square roots of all the perfect squares from 1 to 100.

Finding square roots of of numbers that aren't perfect squares without a calculator

1. Estimate - first, get as close as you can by finding two perfect square roots your number is between.

2. Divide - divide your number by one of those square roots.

3. Average - take the average of the result of step 2 and the root.

4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for you.

Example: Calculate the square root of 10 () to 2 decimal places.

1. Find the two perfect square numbers it lies between.

Solution:

32 = 9 and 42 = 16, so lies between 3 and 4.

2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)

3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667

Repeat step 2: 10/3.1667 = 3.1579

Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623

Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001

If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.

Note: There are a number of ways to calculate square roots without a calculator. This is only one of them.

Answer 7

Well, when saying "take a square root of a number"  You find the numbers two common multiple.  For example, square root of 4 is 2;      2 x 2 = 4 --> That is squaring.

So, what's 2 square?  2 x 2 = 4

What square root of 4?  2

More examples are,

16 = 4

25 = 5

36 = 6

49 = 7

64 = 8

81 = 9

etc

I could explain you better in person

However, take a look at this site:

http://www.bookrags.com/research/radical...

Answer 8

Suppose you have an equation such as

4 times the square root of 36

This is the same as  saying  24 because the square root of 36 is 6

2  times the square root  of 45

This is the same as saying 2 times the square root of 9 times the square root of 5= 6 square root of 5

When doing problems such as these , try to remember to think of factors that have one factor that is a perfect square and then you multiply the number outside the square root with the square root of the number or one of the factors of the number to find your answer.

Answer 9

if you see a number under a square root sign, you are trying to find two of the same numbers that when you multiply them, they equal the number under the square root sign

so the square root of 4 is 2 because 2*2 equals 4

the square root of 25 is 5 because 5*5 equals 25

and so on

Answer 10

omg i need to know this too.

im in year 9 and going to do methods next year and i still don't know

Answer 11

Hmm let's take a look at the wiki...

mathematics, a square root of a number x is a number r such that r2 = x, or in words, a number r whose square (the result of multiplying the number by itself) is x. Every non-negative real number x has a unique non-negative square root, called the principal square root and denoted with a radical symbol as √x. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 × 3 = 9. If otherwise unqualified, "the square root" of a number refers to the principal square root: the square root of 2 is approximately 1.4142.

And since that made no sense at all, let's look at it this way.

The square root of 9 is 3 because 9 divided by 2 is 3 and 3 times 3 is 9. So the square root of something is the number divided by 2.

Answer 12

no do it yourself.