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Yes I know, weird problem. I have to simplify.
As far as I can tell, the answer is: Square root of m times the absolute value of m.
I have a feeling that there's more to it, though. Is there?

2007-02-22 04:05:25 · 4 answers · asked by Atomic Collision 2 in Science & Mathematics Mathematics

I know that you can also express it as the square root of m cubed, but which way is better? It's asking me for the simplest radical form, and both of my answers (square root of m times absolute value of m, and square root of m cubed) meet the qualifications for being in simplest form.

2007-02-22 04:09:29 · update #1

Okay, there seems to be some confusion... here's EXACTLY what it looks like:
(pretend that [] is the square root sign)

[]m []m^2

No parentheses or anything.

2007-02-22 04:12:37 · update #2

4 answers

Probably no more to it.

If you define the square root as the absolute value, then your proposed answer is sufficient.

If you accept that the square root could be + or -, then your final answer is Square root of m times (+ or - m).

You could also leave it as
square root of (m cubed)

2007-02-22 04:11:18 · answer #1 · answered by Raymond 7 · 0 1

Simply have some exponentiations. Square root of m means m^(1/2).
If you mean ((m^(1/2))*(m^(1/2)))^2, you will have, inside the parenthesis, m. Solving the parenthesis outside, you will have m, or absolute value of m.
If you mean (m^(1/2)*((m^(1/2)))^2), though, you will have the second parenthesis resolved first, which will be absolute value of m. Then, multiply by the first parenthesis and you will get square root of m times absolute value of m.

2007-02-22 04:13:47 · answer #2 · answered by F B 3 · 0 0

±√m * |m|
= ±√m * √(m^2)
= ±√(m^3)
= ±m^(3/2) ←-- simplest radical form

2007-02-22 04:08:31 · answer #3 · answered by math freak 3 · 0 0

√(m√(m²)) = m

Follow the steps:

√(m√(m²))
√(m m)
√(m²)
m

On the other hand, if you mean to say (√(m)) (√(m²)), then standard mathematical simplification is to use either of the following:

m√(m)......or.......m^(3/2)

2007-02-22 04:08:32 · answer #4 · answered by Scythian1950 7 · 0 0

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