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Sub 505 (Easy)|   Roots|      
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Bunuel
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Which of the following is the reciprocal of 2^(1/2) 08 Jan 2017, 07:43
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87% (00:32) correct 13% (00:49) wrong based on 163 sessions

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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. \(2\sqrt{2}\)
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B
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Which of the following is the reciprocal of 2^(1/2) 08 Jan 2017, 09:00
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Bunuel
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. \(2\sqrt{2}\)
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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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Which of the following is the reciprocal of 2^(1/2) 08 Jan 2017, 09:39
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Bunuel
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. \(2\sqrt{2}\)
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\(Reciprocal = \frac{1}{\sqrt{2}}\)

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

Hence, answer will be (B) \(\frac{\sqrt{2}}{2}\)
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Which of the following is the reciprocal of 2^(1/2) 08 Jan 2017, 10:30
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Bunuel
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. \(2\sqrt{2}\)
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\(\sqrt{2}\) * \(\frac{\sqrt{2}}{2}\) = 1

Hence (B)

Reciprocal of any number is the number multiplying by which we get the result as "1"
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Which of the following is the reciprocal of 2^(1/2) 25 Apr 2020, 08:21
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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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Which of the following is the reciprocal of 2^(1/2) 15 May 2020, 22:04
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Bunuel
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. \(2\sqrt{2}\)
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Reciprocal of \(\sqrt{2}\) = 1/\(\sqrt{2}\) = (1/\(\sqrt{2}\))*(\(\sqrt{2}\)/\(\sqrt{2}\)) = \(\frac{\sqrt{2}}{2}\)
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Which of the following is the reciprocal of 2^(1/2) 15 Sep 2024, 18:39
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