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(sqrt2 + sqrt3)(sqrt2 - sqrt3)
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28 Sep 2022, 06:56
28 Sep 2022, 06:56
Expert Reply
00:00
Question Stats:
90% (00:29) correct
9% (00:30) wrong based on 11 sessions
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(√2 + √3)(√2 −√3) =
(A) −√6
(B) −1
(C) 1
(D) √5
(E) 5
(A) −√6
(B) −1
(C) 1
(D) √5
(E) 5
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
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Re: (sqrt2 + sqrt3)(sqrt2 - sqrt3)
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28 Sep 2022, 09:20
28 Sep 2022, 09:20
1
We need to find the value of (√2 + √3)(√2 −√3)
(√2 + √3)(√2 −√3) is of the form (a+b) * (a-b) and we know that (a+b) * (a-b) = \(a^2 - b^2\)
=> (√2 + √3)(√2 −√3) = \(√2^2 - √3^2\) = 2 - 3 = -1
So, Answer will be B
Hope it helps!
(√2 + √3)(√2 −√3) is of the form (a+b) * (a-b) and we know that (a+b) * (a-b) = \(a^2 - b^2\)
=> (√2 + √3)(√2 −√3) = \(√2^2 - √3^2\) = 2 - 3 = -1
So, Answer will be B
Hope it helps!
gmatclubot
Re: (sqrt2 + sqrt3)(sqrt2 - sqrt3) [#permalink]
28 Sep 2022, 09:20
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