Square Roots

h_s_potter2002

Symplify $\sqrt{x^3}$ .

**Posted:** Thu Feb 03, 2005 6:08 pm

shinwoo · Yang-Mills Theory Offline Joined: 30 Oct 2004 Posts: 707

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

**Posted:** Thu Feb 03, 2005 6:56 pm

SoccerBrainy40 · Hodge Conjecture Offline Joined: 12 Dec 2004 Posts: 69

From doing the first chapter of AOPS V1, I think I know this...

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

**Posted:** Fri Feb 04, 2005 1:46 pm

Treething

3/2 * 2 = 3

**Posted:** Fri Feb 04, 2005 2:05 pm

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dwx314

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)
>> $x^3/2$ <<

**Posted:** Sat Feb 05, 2005 5:15 am

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JBL

dwx -- the ^ and _ commands only affect the immediate next character, unless you enclose things in brackets. Thus, you meant to write x^{3/2}, not x^3/2. $x^{3/2}$ .

**Posted:** Sat Feb 05, 2005 9:10 am

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shinwoo · Yang-Mills Theory Offline Joined: 30 Oct 2004 Posts: 707

yeah....

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

LaTeX could be really confusing.. Mr. Green

**Posted:** Sat Feb 05, 2005 9:31 am

Mamat · Poincare Conjecture Offline Joined: 26 Sep 2004 Posts: 189

:sqrt: x :^3: =x* :sqrt: x=x^(3/2)

**Posted:** Sat Feb 05, 2005 2:50 pm

metsfan001

Actually, you are all wrong. That is not a simplified radical; that is just turning a radical into a power. Therefore, the answer is $x\sqrt{x}$ .

**Posted:** Sun Feb 13, 2005 3:43 pm

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h_s_potter2002

I was trying to get metsfan001's answer, but I guess you could consider the rest of your guy's answers correct too.

**Posted:** Sun Feb 13, 2005 4:26 pm

Resherry · New Member Offline Joined: 18 Feb 2005 Posts: 1

**Posted:** Fri Feb 18, 2005 9:47 pm

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jli

$x^{\frac{3}{2}}$

**Posted:** Fri Feb 18, 2005 11:34 pm

DarkKnight

X^3/2

**Posted:** Sat Feb 19, 2005 10:04 am

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dk2

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.>

**Posted:** Sat Feb 19, 2005 6:57 pm

jli

**Posted:** Sat Feb 19, 2005 7:04 pm

rcv

**Posted:** Sun Feb 20, 2005 9:04 am

jli

**Posted:** Sun Feb 20, 2005 11:27 pm

jli

oops. must have did something wrong the first time Mr. Green

**Posted:** Sun Feb 20, 2005 11:28 pm

math92

x^(3/2)
x^(3/4)

**Posted:** Mon Apr 18, 2005 2:34 pm

mathgeek2006

x^3/2

**Posted:** Mon Apr 18, 2005 9:41 pm