cbh wrote:

I am not sure if my solution makes sense, but that's how I get it into my mind(negative values under the square root)

\sqrt{−x∗|x|} = -(x*|x|)^1/2= -(x^2)^1/2 = - (x) = -x

Can someone comment please

cbh and

gmatcracker2017, read, above, from

this post down to

this post. Your issue is discussed.

And to both . . .If you want comments, I think you will have better luck if you format properly. Speaking of, I

think you both mean:

\(\sqrt{−x∗|x|}=\)

\(\sqrt{-(x*|x|)} =\)

\(\sqrt{-(x^2)} =\)

\(- (x) = -x\)

When it is written like that, does it look strange?

Any number squared is positive. Full stop.

When was the last time you took the square root of a negative number?

The people above articulate additional issues more eloquently than I can.

I learned to plug in an actual negative number in these kinds of questions. I recommend it.

santro789 , the negative of a negative is a positive. Change the parentheses, to emphasize "opposite of":

(-)-3 = 3

If \(x<0\), then \(|x|= -x\). This concept can be counterintuitive.

I listed a few ways of thinking about it

here.

Then

Bunuel added even more ways to think about it

just after that, here.

The whole thread is worth reading, IMHO.

Hope that helps.

_________________

At the still point, there the dance is. -- T.S. Eliot

Formerly genxer123