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

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Question Stats: 80% (00:34) correct 20% (00:52) wrong based on 88 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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Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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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. $$2\sqrt{2}$$

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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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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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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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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GMAT 1: 600 Q46 V27 Re: Which of the following is the reciprocal of 2^(1/2)  [#permalink]

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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 of $$\sqrt{2}$$ = 1/$$\sqrt{2}$$ = (1/$$\sqrt{2}$$)*($$\sqrt{2}$$/$$\sqrt{2}$$) = $$\frac{\sqrt{2}}{2}$$
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You are missing on great learning if you don't know what this is: Project SC Butler 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)   