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Here is a method that is similar to Melody's...it converges pretty fast....even if our intial guess is not too good.

This method is known as "Guess - Divide - Check "

Step 1  : Let's say that we guess the square root of 6 as 2

Step 2 : Divide 6 by 2  = 3

Step 3 :  Now add 2 +3  and divide by 2 = 2.5

Step 4: Now divide 6 by 2.5 = 2.4

Step 5: Now add 2.5 and 2.4 and divide by 2 = 2.45

Step 6 :  Divide 6 by 2.45 = 2.448

Step 7 : Add 2.448 and 2.45 and divide by 2 = 2.449

Step 8: Divide 6 by 2.449 = 2.449......note this is pretty close to the actual square root of 6 !!!

This isn't hard to do.....once you get the "rhythm" down.....!!!!......with a better initial guess.....the procedure may have even converged much more quickly!!!

 P.S.  -  The method might be better termed as "Guess - Divide - Average - Divide - Average - Divide......."

Well there would be a number of ways Sweatie.  The easiest one is to use a calculator.

This is another way:

You know it is between 2 and 3

$$2<\sqrt{6}<3$$

$$\\2.5^2=6.25 \qquad $that is too big$\\\\
2 < \sqrt{6}<2.5\\\\
2.3^2=5.29\qquad $too small$\\\\
2.3 < \sqrt{6}<2.5\\\\
2.4^2=5.76 \qquad $too small$\\\\
2.4 < \sqrt{6}<2.5\\\\
etc$$

you can continue to do this untill you get the accuracy that you need.

Note: I did not use a calculator at all for what I have done so far there.

This is an incite into how I do it. :)

$$\\23^2=(20+3)^2=400+2*3*20+9=400+120+9=529\\
so\\
2.3^2=5.29\\
$I can do that in my head - with practice you could too. :)$$$

-4 is even because, when divided by 2, there is no remainder.....

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"or do even and odd numbers have a minimum value of 0??"

I think you're asking if negative numbers have parity....("eveness" and "oddness").....yes they do.....just like the positive integers....!!!

I'll give this one a shot.......

"Anchor" John and Sam in any two opposite positions.   Now, Stacy and Roger can occupy any of the other 4 diametrically opposite positions in 2 ways each, and for each of these arragements the other children can be further arranged in 6! ways.

So we have  4 x 2 x 6!   = 5760 ways

Hey...Alan and I agree......whether that makes us correct - or not -might be another story..!!! 

ok Chris, is -4 an even number or do even and odd numbers have a minimum value of 0?

I always get confused with all these nuances.

$$1.009^{42}\times \frac{1457}{1.009^{42}}=1457$$

Oh my god!

I dont understant!

As an australian I never taught ASA      (although it would work)

I just taught   AAS   2 angles and a corresponding side.

so I taught

SAS        2 sides and the included angle

SSS       3 sides

AAS      2 angles and a corresponding side.

and

RHS    right angle, hypotenuse and one other side

Those 4 cover all triangle tests of congruency in triangles.

What do you want me to do with it?

$${\mathtt{9}}{\mathtt{\,\small\textbf+\,}}{\mathtt{10}} = {\mathtt{19}}$$

How amazing is that!

To elaborate on Melody's answer....we can have either math book at both ends...so that's two ways to arrange those.

And, in the "middle,' the other 4 books can be arranged in 4! = 24  ways.

So   ..   2 x 4!  = 2 x 24  = 48 ways 

I do not understand this question so I am just going to prattle about it.

$$\\if\;\;z=a+bi\\\\
\mbox{Then conjugate of z }=\bar z = a-bi\\\\
and\\\\
|z|=|\bar z|=\sqrt{a^2+b^2}\\\\
|z|$ is the distance of z from the origin in the complex number plane
$\\\\
|z|$ is the modulus of z$\\\\
|z| \ne z+\bar z\\\\
z+\bar z=a+bi+a-bi = 2a\\\\
$Hence I am confused $$$

Also....ASA  ....Angle-Side-Angle....

The one that we have to be careful with is SSA....This may or  may  not produce congruent triangles.....as one of my former teachers might say.....Turning this around backwards may prevent you from making an "A*S" of yourself.....!!!

Or, as "Nauseated" might say.....turning it around backwards will help prevent CDD....!!!!

Yes......0 is considered as even......I'm not sure of all the reasons why, but here are two......An even number has the characteristic that, when divided by 2, there is no remainder....

And it's clear that when 0 is divided by 2, no remainder occurs.

Also......to preserve order on the number line, "evens" and "odds" alternate. Thus, if 0 were "odd," we would have three "odds" in a row....-1, 0 and 1.....!!!!

what is 19000.7567892434 roundet to the nearest 20.0000000000

what is 19000.7567892434 roundet to the nearest 20

19000

It looks like it is already as simplified as you can make it, unless you actually do the calculation.

$${\mathtt{\,-\,}}{\frac{{\mathtt{5}}}{{\mathtt{32}}}} = -{\mathtt{0.156\: \!25}}$$

I don't see a way to accomplish this since there will always be one pair of boys next to each other.

There is none 

nah i just always forget to remember

I'm sorry, but when I put this answer, it was wrong. I can't explain because I don't know

If you let x= width

then 1 foot more than twice its width would be;

2x+1=7

x can then be found to be 3.

If you mean $$\frac{2}{(5x-10)}=-3$$

then x=1.87

but if you mean $$\frac{2}{5}(x-2)=-3$$

then x=-5.5

It is the origin, with a radius of 8.

yes .. the result would be the same .. but they made a mistake when they wrote from the write .. 

Thank you Alan .. ~ 

These properties are related to congruent triangles.  (triangles that are the same shape and size)

SAS

If two sides are the same length and the angle between them is the same then the triangles are conguent.

Two sides and included angle test of congruency in triangles.

SSS

Three sides  test of congruency in triangles.

If 2 triangles have there equal sides then they are congruent trianges.  :)