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Square Roots
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h_s_potter2002
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#1
Square Roots
Symplify \sqrt{x^3}.

PostPosted: Thu Feb 03, 2005 5:08 pm  Back to top 
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shinwoo
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#2
hint
I'm giving you the hint because I would like all the people to try it...

the hint is ....

think squre root as 1/2 power


PostPosted: Thu Feb 03, 2005 5:56 pm  Back to top 
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SoccerBrainy40
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#3
From doing the first chapter of AOPS V1, I think I know this...

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The square root is the same as to the 1/2 power, as shinwoo said.

So then, you have x (3)(1/2), which simplifies to x 3/2.


Smile

PostPosted: Fri Feb 04, 2005 12:46 pm  Back to top 
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Treething
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#4
hint

3/2 * 2 = 3

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PostPosted: Fri Feb 04, 2005 1:05 pm  Back to top 
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dwx314
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#5
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This means the square root of x to the power of 3,
square root of x= x^1/2
Cube of x=x^3
x^((3)(1/2))
x^(3/2)
>>x^3/2<<

PostPosted: Sat Feb 05, 2005 4:15 am  Back to top 
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JBL
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#6
dwx -- the ^ and _ commands only affect the immediate next character, unless you enclose things in brackets. Thus, you meant to write Click to reveal hidden content
x^{3/2}, not x^3/2. x^{3/2}.
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PostPosted: Sat Feb 05, 2005 8:10 am  Back to top 
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shinwoo
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#7
yeah....

the way you wrote means totally different stuff....

LaTeX could be really confusing.. Mr. Green

PostPosted: Sat Feb 05, 2005 8:31 am  Back to top 
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Mamat
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#8
:sqrt: x :^3: =x* :sqrt: x=x^(3/2)

PostPosted: Sat Feb 05, 2005 1:50 pm  Back to top 
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metsfan001
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#9
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Actually, you are all wrong. That is not a simplified radical; that is just turning a radical into a power. Therefore, the answer is x\sqrt{x}.
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PostPosted: Sun Feb 13, 2005 2:43 pm  Back to top 
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h_s_potter2002
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#10
I was trying to get metsfan001's answer, but I guess you could consider the rest of your guy's answers correct too.

PostPosted: Sun Feb 13, 2005 3:26 pm  Back to top 
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Resherry
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#11
Mamat wrote:
:sqrt: x :^3: =x* :sqrt: x=x^(3/2)


How could you tell "x>0"?
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PostPosted: Fri Feb 18, 2005 8:47 pm  Back to top 
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jli
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#12
solution
x^{\frac{3}{2}}

PostPosted: Fri Feb 18, 2005 10:34 pm  Back to top 
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DarkKnight
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#13
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X^3/2
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PostPosted: Sat Feb 19, 2005 9:04 am  Back to top 
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dk2
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#14
Extension:
a) Simplify \sqrt{x\sqrt{x}} (exponential form is okay)

b) Simplify \sqrt{x\sqrt{x\sqrt{x}}}

c) <Removed by moderator rcv. Too challenging for this forum.>

PostPosted: Sat Feb 19, 2005 5:57 pm  Back to top 
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jli
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#15
dk2 wrote:
Extension:
a) Simplify \sqrt{x\sqrt{x}} (exponential form is okay)

b) Simplify \sqrt{x\sqrt{x\sqrt{x}}}

a
x^{\frac{3}{4}}

b
x^{\frac{3}{8}}

PostPosted: Sat Feb 19, 2005 6:04 pm  Back to top 
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rcv
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#16
jli wrote:
b
x^{\frac{3}{8}}

It would be more helpful to others, if you would show your work. (Especially on a problem that's especially challenging for this forum.) I believe your answer to part a is correct, but your answer to part b is incorrect.

PostPosted: Sun Feb 20, 2005 8:04 am  Back to top 
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jli
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#17
rcv wrote:
jli wrote:
b
x^{\frac{3}{8}}

It would be more helpful to others, if you would show your work. (Especially on a problem that's especially challenging for this forum.) I believe your answer to part a is correct, but your answer to part b is incorrect.


sorry

somethng you need to know
\sqrt{x}=x^{1\2}


\displaystyle \sqrt{x\sqrt{x\sqrt{x}}}=\displaystyle \sqrt{x\sqrt{x\cdot x^\frac{1}{2}}}=\displaystyle \sqrt{x\sqrt{x^\frac{3...

PostPosted: Sun Feb 20, 2005 10:27 pm  Back to top 
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jli
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#18
oops. must have did something wrong the first time Mr. Green Blush

PostPosted: Sun Feb 20, 2005 10:28 pm  Back to top 
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math92
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#19
original problem
x^(3/2)

a
x^(3/4)

PostPosted: Mon Apr 18, 2005 1:34 pm  Back to top 
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mathgeek2006
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#20
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x3/2


PostPosted: Mon Apr 18, 2005 8:41 pm  Back to top 
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