sandy wrote:
If \(pq \neq 0\), and \(\frac{1}{p}=\sqrt{q}\), what is the value of \(p\)?
A. \(q\)
B. \(\sqrt{q}\)
C. \(\frac{\sqrt{q}}{q}\)
D. \(\frac{1}{q}\)
E. \(\frac{1}{q^2}\)
GIVEN: 1/p = √q
This is the same as writing: 1/p = (√q)/1
Flip each side to get: p/1 = 1/√q
Simplify: p = 1/√q
Check answer choices....1/√q is not there!
Looks like they want us to "simplify" 1/√q by rationalizing the denominator.
Take: 1/√q
Multiply numerator and denominator by √q to get: (√q)/q
Check answer choices....bingo!
Answer: C
Cheers,
Brent