Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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This is what I mean √

Normally you would say what number when multiplied by itself equals 9

Well 3 x 3 = 9 and (-3) x (-3) = 9 so why is it not

The reason is the √ operator or instruction means only the positive one so the first one is correct. There is more but it is jargon that you do not need right now.

You are welcome.

Since when we are solving an equation like this we are always trying to get an x all by itself on one side.

We know that 2 x (1/2) = 1 so if we square both sides

we are done.

Please, is the following the same?

x^2 and x^1/2

No , they are not the same. x^2 says x * x while x^(1/2) =√x

For numbers it will be easier to see:

4^2 = 4 x 4 = 16

4^(1/2) = √4 = 2

Very good! Anything else?

Do you see why you raise both sides up to the 3 / 2 power?

Do you mean here?

Hi;

EM:

```
s1 = Permutations[{m, a, t, h, e, m, a, t, i, c, s}, {11}];
Cases[s1, {___, a, ___, e, ___, a, ___, i, ___}] // Length
```

Analytically:

Then why were you trying to find the author?

Agnishom wrote:

I was kidding.

I already know that.

A bogus quote it is? Hmmm, ferret out the author we must.

But his quote has no meaning to me by his own words. When he joins the forum I will listen to him.

bobbym wrote:

Then get to know more people.

Perhaps in the past, one could lead a sheltered existence and only know of 50 -100 people. But this is the 21st century, the time of Armageddon. I personally know close to 40 million people thanks to the internet and so should you.

And by the way, Rafiqul Amin, I do not know him...

When did I say or act that it was personal? I feel wonderful, so I post wonderfully. I thought my reply would brighten up Olinguito's day.

But by the way in answer to your bogus statement.

Everything is personal - Michael Corleone

Hi;

I never said that. Please read post #1.

As I have said many times I am not a math guy, I am a computational guy. Thusly, I stay away from dry math definitions of the type best left to the theoreticians whom are experts in such things.

But since this is the kind of post JFF would deliver at me my heart has experienced a warm feeling. For that I thank you.

When we raise an expression to a power we multiply the powers.

So to get x^(2/3) = x we multiply it by its inverse (2/3)(3/2) = 1

Hi;

You will always have to violate one condition on this problem because I believe that it is impossible.

Hath ye seen the Sulemann challenge?

Because I latexed it up incorrectly!