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Negatives and Reciprocals

Reciprocal of...

Question

Reciprocal of $\frac{1}{a}$ if $a \neq 0$ is

A

a

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B

a^{2}

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C

a^{3}

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D

1

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Solution

The correct option is A $a$
Reciprocal of $\frac{1}{a}, a \neq 0$ is
$\frac{1}{\frac{1}{a}} = a$

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a^{2} + \frac{1}{a^{2}} = 47

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a^{2} + \frac{1}{a^{2}} = 18

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{(a + \frac{1}{a})}^{2} = 3

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a + \frac{1}{a}

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