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Roots

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Manager
Manager
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Joined: 22 Sep 2008
Posts: 117
Roots  [#permalink]

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New post 29 Sep 2008, 07:54
I think these are easy question , but just beat the time

q1: √98 + √18 = ?

√116

10 √4

10 √2

14

2 √29

q2:√112 − √63 + √28 = ?

√77

9 √7

9 √3

7 √3

3 √7

q3:√7 (7 √20 − 7 √75) = ?

14 √5 − 35 √3

5 √14 − 3 √35

35 √5 − 14 √3

35 √35 − 14 √21

14 √35 − 35 √21

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Director
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Joined: 12 Jul 2008
Posts: 511
Schools: Wharton
Re: Roots  [#permalink]

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New post 29 Sep 2008, 08:20
q1: √98 + √18 = ?

√116

10 √4

10 √2

14

2 √29


\(sqrt(98) + sqrt(18)
= sqrt(2*49) + sqrt(2*9)
= 7sqrt(2) + 3sqrt(2)
= 10sqrt(2)\)


q2:√112 − √63 + √28 = ?

√77

9 √7

9 √3

7 √3

3 √7


\(sqrt(112) - sqrt(63) + sqrt(28)
= sqrt(16*7) - sqrt(9*7) + sqrt(4*7)
= 4sqrt(7) - 3sqrt(7) + 2sqrt(7)
= 3sqrt(7)\)

q3:√7 (7 √20 − 7 √75) = ?

14 √5 − 35 √3

5 √14 − 3 √35

35 √5 − 14 √3

35 √35 − 14 √21

14 √35 − 35 √21

\(sqrt(7)*[7sqrt(20) - 7sqrt(75)]
=7sqrt(7)*[sqrt(4*5) - sqrt(25*3)]
= 7sqrt(7)*[2sqrt(5) - 5sqrt(3)]
= 14sqrt(35) - 35sqrt(21)\)
VP
VP
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Joined: 05 Jul 2008
Posts: 1329
Re: Roots  [#permalink]

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New post 29 Sep 2008, 09:47
Agree with zooink.

Zooink,

Can you tell me how to generate the sqrt? Do you write the tags or can you click some where and generate such mathematical symbols?
Manager
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Joined: 22 Sep 2008
Posts: 117
Re: Roots  [#permalink]

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New post 29 Sep 2008, 12:31
I think zoolink has copied answer from somewhere..
his answer is in image form..

but nice explanation

Thanks
Director
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Posts: 511
Schools: Wharton
Re: Roots  [#permalink]

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New post 29 Sep 2008, 12:47
icandy wrote:
Agree with zooink.

Zooink,

Can you tell me how to generate the sqrt? Do you write the tags or can you click some where and generate such mathematical symbols?


Use the [m ] [/m ] brackets to offset math symbols.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Roots &nbs [#permalink] 29 Sep 2008, 12:47
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