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If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?

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Math Expert
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If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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New post 29 Oct 2018, 22:11
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:03) correct 22% (01:28) wrong based on 58 sessions

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Re: If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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New post 29 Oct 2018, 22:35
\(\frac{1}{p}\)=\(\sqrt{q}\)

\(\frac{1}{\sqrt{q}}\)=p

Now, we rationalise the denominator
\(\frac{√q}{\sqrt{q}}\)·\(\frac{1}{\sqrt{q}}\)=p

\(\frac{√q}{q}\)=p
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If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?  [#permalink]

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New post 30 Oct 2018, 03:44

Solution


Given:
    • pq ≠ 0
    • \(\frac{1}{p} = √q\)

To find:
    • The value of p

Approach and Working:
    • We have, \(\frac{1}{p} = √q\)
    • Reciprocal gives, \(p = \frac{1}{√q}\)
    • Now, multiplying the numerator and denominator of RHS gives, \(p = \frac{√q}{q}\)

Hence, the correct answer is Option C

Answer: C

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If pq ≠ 0, and 1/p = q^(1/2), what is the value of p ?   [#permalink] 30 Oct 2018, 03:44
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