multiplying and dividing sq roots(lol)

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RavenSEAL

Diamond Member
Jan 4, 2010
8,661
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Well, this is off topic haha. I'm trying to help my lil sister how to do these but i've completely forgotten. Any way you guys can help me out here as how to do these? She's got about 32 of these to do and i promised her i would figure how to do them lol. Anyways, hoping you folks could help me out.

3 square root of 5 times 2 square root of 10.

4 divided by the sq root of 5

sq root of 2 div by the sq root of 10

4 sq root x^12 divided by 24 sq root of x^2

These are the different types of problems i can find, if someone can show me how they do these, i can figure the others out.Thanks :)
 
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TuxDave

Lifer
Oct 8, 2002
10,571
3
71
sqrt(A) * sqrt(B) = sqrt(A*B)

That should take care of most of them. That and the obvious sqrt(A)/sqrt(A) = 1.
 

Imp

Lifer
Feb 8, 2000
18,828
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Just multiply and divide both sides by the same thing to "rationalize" things. FYI, just had a beer and glass of wine, so follow at your own risk...
 

artikk

Diamond Member
Dec 24, 2004
4,172
1
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sqrt(x)*sqrt(y)=sqrt(x*y)
sqrt(x)=x^.5
sqrt(x)/sqrt(y)=sqrt(x/y)
sqrt(x)*sqrt(x)=x
 

Cogman

Lifer
Sep 19, 2000
10,286
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Probably the most useful tricks with Sqrts is to remember that Sqrt(x) = x^(1/2) So if you have Sqrt(x^42) that is the same as x^(42/2) or x^21

That and remember "Please Excuse my dear aunt sally"
Please = parentheses
Excuse = Exponents (which a sqrt is)
My = multiplication
Dear = division
Aunt = addition
Sally = subtraction

That is the order of residence (IE what gets done first. Top gets the highest priority)






On a completely unrelated note. In trig, I'm sure many have heard the phrase "Soh cah toa" Thats great and all, but the one I now remember is "Some old hippy caught another hippy tripping on acid".
 
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Hacp

Lifer
Jun 8, 2005
13,923
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Multiplying square roots is trivial. Much like Differential Geometry. Tell your sister to be smarter.

*end flyingpig impersonation
 

gorcorps

aka Brandon
Jul 18, 2004
30,741
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Probably the most useful tricks with Sqrts is to remember that Sqrt(x) = x^(1/2) So if you have Sqrt(x^42) that is the same as x^(42/2) or x^21

I came in to post this. Once you remember sqrt is the same as ^1/2 things should be easy.
 
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