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

Question

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}

rishit1080 · Answer

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.

Abhishek009 · Answer

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}

AkshdeepS · Answer

\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"

jkolachi · Answer

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.

TheNightKing · Answer

Reciprocal of  \sqrt{2}  = 1/ \sqrt{2}  = (1/ \sqrt{2} )*( \sqrt{2} / \sqrt{2} ) =  \frac{\sqrt{2}}{2}

bumpbot · Answer

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

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GMAT Problem Solving (PS) Questions

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

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