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root of 5 - root of 3

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root of 5 - root of 3 [#permalink] New post 03 Jun 2017, 08:13
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( \sqrt{5} - \sqrt{3} )^2 =

A) 2 - 2 \sqrt{15}

B) 2 - \sqrt{15}

C)8 - 2 \sqrt{15}

D) 2

E) 8 - 2 \sqrt{5}
[Reveal] Spoiler: OA

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Re: root of 5 - root of 3 [#permalink] New post 06 Jun 2017, 15:59
Expert's post
Carcass wrote:


( \sqrt{5} - \sqrt{3} )^2 =

A) 2 - 2 \sqrt{15}

B) 2 - \sqrt{15}

C)8 - 2 \sqrt{15}

D) 2

E) 8 - 2 \sqrt{5}


Let's use the FOIL method.

(√5 - √3)² = (√5 - √3)(√5 - √3)
= √25 - √15 - √15 + √9
= 5 - 2√15 + 3
= 8 - 2√15

Answer:
[Reveal] Spoiler:
C


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Re: root of 5 - root of 3   [#permalink] 06 Jun 2017, 15:59
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