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CEO
Joined: 21 Jan 2007
Posts: 2747
Location: New York City
Followers: 11

Kudos [?]: 939 [0], given: 4

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28 Oct 2007, 20:59
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

VP
Joined: 28 Mar 2006
Posts: 1372
Followers: 2

Kudos [?]: 33 [0], given: 0

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28 Oct 2007, 21:02
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

sqrt (7 + sqrt(48)) - sqrt(3)

sqrt (7 + 4*sqrt(3)) - sqrt(3)

sqrt (7 + 3*sqrt(3))

= appx 3 ..So E
CEO
Joined: 29 Mar 2007
Posts: 2562
Followers: 21

Kudos [?]: 453 [0], given: 0

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28 Oct 2007, 21:14
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

I get E as well. Actually my answer is bigger than E. I guess im kinda confused with the way the problem is typed.

is the -sqrt(3) under the same sqrt as the 7?
VP
Joined: 28 Mar 2006
Posts: 1372
Followers: 2

Kudos [?]: 33 [0], given: 0

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28 Oct 2007, 21:21
GMATBLACKBELT wrote:
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

I get E as well. Actually my answer is bigger than E. I guess im kinda confused with the way the problem is typed.

is the -sqrt(3) under the same sqrt as the 7?

Fantastic question the answer is 2

Here it is

sqrt (7 + sqrt(48)) - sqrt(3)

Conside the bolded part

the square root is sqrt(4) + sqrt(3)

Not subtracting -sqrt(3) we get sqrt(4) remaining which is 2
CEO
Joined: 29 Mar 2007
Posts: 2562
Followers: 21

Kudos [?]: 453 [0], given: 0

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28 Oct 2007, 21:29
trivikram wrote:
GMATBLACKBELT wrote:
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

I get E as well. Actually my answer is bigger than E. I guess im kinda confused with the way the problem is typed.

is the -sqrt(3) under the same sqrt as the 7?

Fantastic question the answer is 2

Here it is

sqrt (7 + sqrt(48)) - sqrt(3)

Conside the bolded part

the square root is sqrt(4) + sqrt(3)

Not subtracting -sqrt(3) we get sqrt(4) remaining which is 2

Ok now I see, yes agree w/ 2. sqrt7+4sqrt3 ~ sqrt13.8~3.7 -1.7= 2.
Director
Joined: 03 May 2007
Posts: 876
Schools: University of Chicago, Wharton School
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Kudos [?]: 208 [0], given: 7

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28 Oct 2007, 22:43
trivikram wrote:
GMATBLACKBELT wrote:
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

I get E as well. Actually my answer is bigger than E. I guess im kinda confused with the way the problem is typed.

is the -sqrt(3) under the same sqrt as the 7?

Fantastic question the answer is 2

Here it is

sqrt (7 + sqrt(48)) - sqrt(3)

Conside the bolded part

the square root is sqrt(4) + sqrt(3)

Not subtracting -sqrt(3) we get sqrt(4) remaining which is 2

good one "trivikram".

= sqrt (7 + sqrt(48)) - sqrt(3)
= sqrt (4 + 2 sqrt(12) + 3) - sqrt(3)
= sqrt ((2)^2 + 2 (2) sqrt (3) + sqrt(3)^2 - sqrt(3)
= sqrt [{(2)^2 + sqrt (3)}^2] - sqrt(3)
= 2 + sqrt (3) - sqrt(3)
= 2
Director
Joined: 09 Aug 2006
Posts: 757
Followers: 1

Kudos [?]: 210 [0], given: 0

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28 Oct 2007, 23:26
bmwhype2 wrote:
sqrt (7 + sqrt(48)) - sqrt(3)?

1
1.7
2.0
2.4
3.0

2.

sqrt (48) = 4sqrt(3)

7+4sqrt(3) = (2+3sqrt(2))^2

Question becomes

2 + sqrt(3) - sqrt(3) = ?

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