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# If line segments AB and CD have lengths of 10 + 7 and 5 − 7 respective

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Math Expert
Joined: 02 Sep 2009
Posts: 55803
If line segments AB and CD have lengths of 10 + 7 and 5 − 7 respective  [#permalink]

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24 Dec 2018, 23:49
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:55) correct 16% (00:53) wrong based on 42 sessions

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If line segments AB and CD have lengths of $$10 + \sqrt{7}$$ and $$5 − \sqrt{7}$$ respectively, AB is greater than CD by how much?

A. $$5 − 2\sqrt{7}$$

B. $$5 + 2\sqrt{7}$$

C. $$15 + 2\sqrt{7}$$

D. 5

E. 15

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If line segments AB and CD have lengths of 10 + 7 and 5 − 7 respective  [#permalink]

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25 Dec 2018, 08:12
Bunuel wrote:
If line segments AB and CD have lengths of $$10 + \sqrt{7}$$ and $$5 − \sqrt{7}$$ respectively, AB is greater than CD by how much?

A. $$5 − 2\sqrt{7}$$

B. $$5 + 2\sqrt{7}$$

C. $$15 + 2\sqrt{7}$$

D. 5

E. 15

$$10 + \sqrt{7}$$ - ( $$5 − \sqrt{7}$$)

$$5 + 2\sqrt{7}$$

IMO B
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If line segments AB and CD have lengths of 10 + 7 and 5 − 7 respective   [#permalink] 25 Dec 2018, 08:12
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