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jamesrwright3
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Trouble With Root Problems...Any Link to Tutorials? 19 Nov 2006, 16:01
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I am having trouble with these types of questions. I could not find a method in any of my GMAT material, and Manhattan GMAT's guide said these types of problems are not solvable? Here is an example

What is the value of n if n(root3)= 4(Root75)+5(Root48)

A. 20(root3)
B. 10
C. 40
D. 20
E. None of the above

Ok doing it long ways,

Simpifying the right side I get Sqrt (75*16)+Sqrt (25*48)
Combining numbers on that side, that equals Sqrt2400

I was told the answer to the question is 40. However, if if Square 40 and multiply it by the number inside of the root sign, I get sqrt4800?

I am confused

Anyone have any links which can help?

Thanks

Jim



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mbagal1
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Trouble With Root Problems...Any Link to Tutorials? 19 Nov 2006, 16:22
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This is the way I do it:

75 = 5x5x3
=>root(75) = 5root(3)
48 = 2x2x2x2x3
=> root(48) = 4root(3)

=> 4Root(75)+5Root(48) = 20root(3) + 20 root(3)
= 40root(3)
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MBAlad
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Trouble With Root Problems...Any Link to Tutorials? 19 Nov 2006, 16:29
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I cant give you any links just search the maths section of the forum and you should find quite a few.

The way I'd approach it is

What is the value of n if n(root3)= 4(Root75)+5(Root48)

n(root3) = 4(root 3 * 25) + 5(root 3*16)
n(root3) = 4*5(root3) + 5*4(root3)
n(root3) = 20(root3) + 20(root3)
n(root3) = 40(root3)
divide both sides by root3 ---> n=40



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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