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Which of the following is the reciprocal of 2^(1/2)

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Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 08 Jan 2017, 06:43
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A
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C
D
E

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Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 08 Jan 2017, 08:00
Bunuel wrote:
Which of the following is the reciprocal of \(\sqrt{2}\)?

A. 1/2

B. \(\frac{\sqrt{2}}{2}\)

C. 1.4

D. \(\sqrt{2}\)

E. \(2\sqrt{2}\)



B

The reciprocal of \sqrt{}2 is 1\sqrt{}2. We can multiply both the numerator and the denominator by \sqrt{}2 (we can do that without changing the result, since we're multiplying by 1) and we get 1\sqrt{}2⋅\sqrt{}2\sqrt{}2=\sqrt{}2/2.
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Re: Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 08 Jan 2017, 08:39
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Bunuel wrote:
Which of the following is the reciprocal of \(\sqrt{2}\)?

A. 1/2

B. \(\frac{\sqrt{2}}{2}\)

C. 1.4

D. \(\sqrt{2}\)

E. \(2\sqrt{2}\)


\(Reciprocal = \frac{1}{\sqrt{2}}\)

\(Reciprocal = \frac{\sqrt{2}}{2}\) ( multiplying Numerator and Denominator by \(\sqrt{2}\)

Hence, answer will be (B) \(\frac{\sqrt{2}}{2}\)
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Re: Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 08 Jan 2017, 09:30
Bunuel wrote:
Which of the following is the reciprocal of \(\sqrt{2}\)?

A. 1/2

B. \(\frac{\sqrt{2}}{2}\)

C. 1.4

D. \(\sqrt{2}\)

E. \(2\sqrt{2}\)



\(\sqrt{2}\) * \(\frac{\sqrt{2}}{2}\) = 1

Hence (B)

Reciprocal of any number is the number multiplying by which we get the result as "1"
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Re: Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 25 Apr 2020, 07:21
B. Match convention says that you cannot have a square root as a denominator therefore you must multiply the recipricol of sq rt of 2 with sq root of 2.
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Re: Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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New post 15 May 2020, 21:04
Bunuel wrote:
Which of the following is the reciprocal of \(\sqrt{2}\)?

A. 1/2

B. \(\frac{\sqrt{2}}{2}\)

C. 1.4

D. \(\sqrt{2}\)

E. \(2\sqrt{2}\)


Reciprocal of \(\sqrt{2}\) = 1/\(\sqrt{2}\) = (1/\(\sqrt{2}\))*(\(\sqrt{2}\)/\(\sqrt{2}\)) = \(\frac{\sqrt{2}}{2}\)
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Re: Which of the following is the reciprocal of 2^(1/2)   [#permalink] 15 May 2020, 21:04

Which of the following is the reciprocal of 2^(1/2)

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